vestnik

Экологический вестник научных центров Черноморского экономического сотрудничества

Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation

1729-5459

Кубанский государственный университет

676

10.31429/vestnik-13-1-2-37-80

Научная статья

Original article

Статьи

Article

The theory of the starting earthquake

Теория стартового землетрясения

Babeshko V.A.

Babeshko

Vladimir A.

Бабешко

Владимир Андреевич

babeshko41@mail.ru

академик РАН, д-р физ.-мат. наук, зав. кафедрой математического моделирования Кубанского государственного университета, директор Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета, заведующий лабораторией Южного федерального университета

Evdokimova O.V.

Evdokimova

Olga V.

Евдокимова

Ольга Владимировна

evdokimova.olga@mail.ru

д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

Babeshko O.M.

Babeshko

Olga M.

Бабешко

Ольга Мефодиевна

babeshko49@mail.ru

д-р физ.-мат.~наук, главный научный сотрудник Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

Southern Scientific Center, Russian Academy of Science, Rostov-on-DonЮжный научный центр РАН, Ростов-на-Дону Kuban State University, KrasnodarКубанский государственный университет, Краснодар

22 04 2016

1 37 80 04 04 2016 09 04 2016 22 04 2016

2016

Бабешко В.А., Евдокимова О.В., Бабешко О.М.

This work is licensed under a Creative Commons Attribution 4.0 International License.

Properties of detected earthquakes which are called starting earthquakes are researched in this work. Questions concerning methods of their detection and their expected behavior, place, time and intensity are discussed. Some characteristic features of real earthquakes are collated with features of model-earthquakes. It is also emphasized that there is no information on this type of earthquakes in scientific literature on hand. Due to the specific nature of the problem, i.e. existence of ruptural and unbounded components in the solution, detection of such earthquakes isn’t effective while directly using even competent computing facilities on the solution of a complex of boundary problems in environments with brittle properties. In order to research the earthquakes the application of high-performance computing facilities is suggested when the research is put into topological spaces with a wider range of properties than that of functional spaces.

В работе изучаются свойства обнаруженных землетрясений, названных стартовыми. Обсуждаются вопросы, связанные со способом их выявления, ожидаемого поведения события, определения места, времени и его интенсивности. Сопоставляются некоторые характерные свойства реальных землетрясений с моделируемыми. Подчеркнуто, что отсутствуют в имеющейся научной литературе какие-либо сведения о землетрясениях подобного типа. Выявление подобных землетрясений не дает эффекта при прямом применении к решению комплекса граничных задач в средах с хрупкими свойствами даже мощных вычислительных средств в связи со спецификой проблемы — наличием разрывных и неограниченных составляющих в решении. Предложен способ использования для исследования землетрясений средств высокопроизводительных вычислений путем погружения исследований в топологические пространства, обладающие более широким спектром свойств, чем функциональные.

блочный элемент факторизация топология методы интегральной и дифференциальной факторизации внешние формы блочные структуры граничные задачи зона особенностей сингулярная особенность логарифмическая особенность разрывная особенность алгебраическая система уравнений землетрясение

block element factorization topology integral and differential factorization methods exterior forms block structures boundary problems singularity domain singular peculiarity logarithmic singularity break singularity algebraic system of equations earthquake

This work was supported by the Russian Foundation for Basic Research, projects nos. (14-08-00404), (15-01-01379), (15-08-01377), (16-41-230214), (16-41-230218), (16-48-230216), by the Program no 1-33P of the Presidium of the Russian Academy of Sciences, from (0256-2015-0088) till (0256-2015-0093) and State Order, project (0256-2014-0006).

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Pavlova A.V. Differential method of factorization for block structure. Dokl. Akad. Nauk, 2009, vol. 424, no. 1, pp. 36-39. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the integral and the differential factorization methods. Dokl. Akad. Nauk, 2006, vol. 410, no. 2, pp. 168-172. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. Integral method of factorization in combined tasks for anisotropic environments. Dokl. Akad. Nauk, 2009, vol. 426, no. 4, pp. 471-475. (In Russian)

Zenkevich O. The finite element method in technique. Moscow, Mir Publ., 1975. (In Russian)

Deklu J. The finite element method. Moscow, Mir Publ., 1976. (In Russian)

Parton V.Z., Perlin P.I. Methods of mathematical theory of elasticity. Moscow, Nauka Publ., 1981. (In Russian)

Babeshko V.A., Babeshko O.M. Generalized factorization in boundary value problems in multiply connected domains. Dokl. Akad. Nauk, 2003, vol. 392, no. 2, pp. 185-189. (In Russian)

Banerjee P.K., Batterfield R. Boundary element methods in engineering science. London McGraw-Hill, 1981; Moscow, Mir Publ., 1984.

Brebbia C., Telles J., Wrobel P. Methods of boundary elements. Moscow, Mir Publ., 1987. (In Russian)

Bazhenov V.G., Igumnov L.A. Methods of boundary integral equations and boundary elements. Moscow, Fizmatlit Publ., 2008. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. On the Sadovski problem of block structures. Doklady Physics, 2009, vol. 54. iss. 8, pp. 373-377.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 9, pp. 418-422.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The arbitrary triangular pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 12, pp. 557-560.

Babeshko V.A., Babeshko O.M. Method of factorizing a solution to some boundary-value problems. Doklady Physics, 2003, vol. 48, iss. 9, pp. 134-137.

Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The integral factorization method in mixed problems for anisotropic media. Doklady Physics, 2009, vol. 54, iss. 6, pp. 285-289.

Babeshko V.A., Babeshko O.M., Evdokimova O.V. The implementation of boundary conditions in the differential method of factorization. Dokl. Akad. Nauk, 2007, vol. 412, no. 5, pp. 600-603. (In Russian)

Vorovich I.I., Babeshko V.A. Dynamical mixed problems of theory of elasticity for nonclassical regions. Moscow, Nauka Publ., 1979. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Pavlova. A.V. The differential factorization method for a block structure. Doklady Physics, 2009, vol. 54, iss. 1, pp. 25-28.

Babeshko V.A, Evdokimova O.V, Babeshko O.M. Block elements with spherical border. Dokl. Akad. Nauk, 2010, vol. 434, no. 5, pp. 616-619. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. On the Sadovski problem of block structures. Doklady Physics, 2009, vol. 54, iss. 8, pp. 373-377.

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the problem of block structures of academician M.A. Sadovskiy. Dokl. Akad. Nauk, 2009, vol. 427, no. 4, pp. 480-485. (In Russian)

Babeshko V.A, Evdokimova O.V, Babeshko O.M. Quantum-mechanical properties of block elements in nanomaterials. Dokl. Akad. Nauk, 2010, vol. 435, no. 2, pp. 190-194. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. To the theory of block element. Dokl. Akad. Nauk, 2009, vol. 427, no. 2, pp. 183-186. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About pyramidal block element. Dokl. Akad. Nauk, 2009, vol. 428, no. 1, pp. 30-34. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About block element in the form of random triangular pyramid. Dokl. Akad. Nauk, 2009, vol. 429, no. 6, pp. 758-761. (In Russian)

Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Glushkov B.V., Vinchenko N.F. Dynamics of inhomogenious linearly elastic media, Moscow, Nauka Publ., 1979. (In Russian)

Vorovich I.I., Babeshko V.A. Mixed dynamic problems of elasticity theory in unbounded domains. Moscow, Nauka, 1979. (In Russian)

Babeshko V.A., Babeshko O.M. Integral transformations and the factorization method in boundary problems. Dokl. Akad. Nauk, 2005, vol. 403, no. 6, pp. 26-28. (In Russian)

Babeshko V.A. Evdokimova O.V., Babeshko O.M. Quantum-mechanical properties of block elements in nanomaterials. Doklady Physics, 2010, vol. 55, iss. 11, pp. 568-572.

Babeshko V.A. Evdokimova O.V., Babeshko O.M. About the features of the block element method in nonstationary problems. DAN. 2011, vol. 438, no. 4, pp. 470-474.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About block elements in layered media with a relief boundary. Doklady Physics, 2010, vol. 55, iss. 11, pp. 545-550.

Babeshko V.A., Ritzer J.A. Features of the block element method. Doklady Physics, 2011, vol. 56, iss. 3, pp. 178-181.

Babeshko V.A., Babeshko O.M., Evdocimova O.V. Fulfillment of edge conditions in the differential factorization method. Dokl. Akad. Nauk, 2007, vol. 412, no.5, pp. 600-603. (In Russian)

Vorovich I.I., Babeshko V.A. Dynamic mixed problems of the theory of elasticity for nonclassical regions. Moscow, Nauka, 1979. (In Russian)

Nobl B. Wiener-Hopf Metod. Moscow, Inostrannaya Literatura Publ., 1962. (In Russian)

Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Babeshko V.A., Babeshko O.M. Method of factorizing a solution to some boundary-value problems. Doklady Physics, 2003, vol. 48, iss. 9, pp. 134-137.

Babeshko V.A, Babeshko O.M. Factorization formula of some meromorphic matrix function. Dokl. Akad. Nauk, 2004, vol. 399, no. 1, pp. 163-167. (In Russian)

Evdokimova O.V. About factorization of matrix functions arising in the problem of materials of complex structure. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2007, no. 2, pp. 8-11. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. On the Sadovski problem of block structures. Doklady Physics, 2009, vol. 54, iss. 8, pp. 373-377.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 9, pp. 418-422.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The Arbitrary triangular pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 12, pp. 557-560.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The integral factorization method in mixed problems for anisotropic media. Doklady Physics, 2009, vol. 54, iss. 6, pp. 285-289.

Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Ritzer J.A. Features of the block element method. Doklady Physics, 2011, vol. 56, iss. 3, pp. 178-181.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About polyhedral and convex block elements. Doklady Physics, 2010, vol. 55, iss. 6, pp. 292-296.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Features of the block-element method in nonstationary problems. Doklady Physics, 2011, vol. 56, iss. 6. pp. 338-342.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About block elements in layered media with a relief boundary. Doklady Physics, 2010, vol. 55, iss. 11, pp. 545-550.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Block elements with a spherical boundary. Doklady Physics, 2010, vol. 55, iss. 10, pp. 512-515.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Block elements with a cylindrical boundary in macro- and nanostructures. Doklady Physics, 2011, vol. 56, iss. 10, pp. 544-547.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Automorphism and pseudo-differential equations in the block-element method. Doklady Physics, 2011, vol. 56, iss. 6, pp. 348-351.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Title: Features of the block-element method in nonstationary problems. Doklady Physics, 2011, vol. 56, iss. 6, pp. 338-342.

Wiener N., Hopf E. Über eine Klasse singulärer Integralgleichungen. Sitzungsber, Berlin, Acad. Wiss., 1932, pp. 696-706.

Noble B. Methods based on the Wiener-Hopf technique for the solution of partial differential equations. Oxford, Pergamon, 1958; Moscow, Inostrannaya Literatura Publ., 1962.

Babeshko V.A., Babeshko O.M. Method of factorizing a solution to some boundary-value problems. Doklady Physics, 2003, vol. 48, iss. 3, pp 134-137.

Babeshko V.A., Babeshko O.M. Integral transformations and the factorization method in boundary value problems. Dokl. Math., 2005, vol. 72, no. 1, pp. 630-633.

Gokhberg I.Ts., Krein M.G. The system of integral equations on the semiaxis with cores, depending on the difference of arguments. Usp. Mat. Nauk, 1958, vol. 13, no. 2, pp. 3-72. (In Russian)

Vorovich I.I., Babeshko V.A. Dynamic mixed elasticity problems for nonclassical domains. Moscow, Nauka Publ., 1979. (In Russian)

Vorovich I.I., Aleksandrov V.M., Babeshko V.A. Nonclassical mixed problems in elasticity. Moscow, Nauka Publ., 1974. (In Russian)

Babeshko V.A., Babeshko O.M. Factorization formulas for some meromorphic matrix functions. Dokl. Math., 2004, vol. 70, no. 3, pp. 963-965.

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the integral and the differential factorization methods. Dokl. Phys., 2006, vol. 410, no. 2, pp. 168-172.

Babeshko V.A., Babeshko O.M., Evdokimova O.V. To the problem of estimation of coated fabrics state. Dokl. Akad. Nauk, 2006, vol. 409, no. 4, pp. 481-485. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.

Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in heterogeneous sums. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About polyhedral and salient block elements. Dokl. Akad. Nauk, 2010, vol. 432, no. 5, pp. 610-623. (In Russian)

Babeshko V.A., Babeshko O.M., Evdokimova O.V. About he block element in the shape of arbitrary triangular pyramid. Dokl. Akad. Nauk, 2009, vol. 429, no. 6, pp. 758-761. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the ``viral'' theory of some anomalous act of nature. Dokl. Akad. Nauk, 2012, vol. 447, no. 1, pp. 33-37. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. ``Viral theory'' of some natural anomalies. Dokl. Akad. Nauk, 2012, vol. 447, no. 6, pp. 624-628. (In Russian)

Babeshko V.A., Ritser D., Evdokimova O.V., Babeshko O.M. About the energy localization of nature processes and nature viruses. Dokl. Akad. Nauk, 2013, vol. 448, no. 4, pp. 406-409. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the block elements in enclosure. Physical mesomechanics, 2012, vol. 15, no. 1, pp. 95-103. (In Russian)

Zorich V. A. Mathematical analysis, pt. 2. Moscow, MCCME Publ., 2002, 788 p. (In Russian)

Kelly D. General topology. Moscow, Nauka Publ., 1968, 384 p. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About automorphism and pseudodifferential equations in the block elements method. Dokl. Akad. Nauk, 2011, vol. 438, no. 5, pp. 623-625. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Some general characteristics of block elements. Dokl. Akad. Nauk, 2012, vol. 442, no. 1, pp. 37-40. (In Russian)

Babeshko V.A, Babeshko O.M. Factorization formula of some meromorphic matrix function. Dokl. Akad. Nauk, 2004, vol. 399, no. 1, pp. 163-167. (In Russian)

Kantorovich L.V., Akilov G.P. Functional analysis. Moscow, Nauka Publ., 1977, 744 p.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Virus theory of certain anomalous natural phenomena. Doklady Physics, 2012, vol. 57, iss. 11, pp. 442-446.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Virus theory of certain natural anomalies. Doklady Physics, 2012, vol. 57, iss. 12, pp. 487-491.

Babeshko V.A., Ritzer J., Evdokimova O.V., Babeshko O.M. Energy localization in natural processes and natural viruses. Doklady Physics, 2013, vol. 58, iss. 2, pp. 51-55.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. A topological method for solving boundary value problems and block elements. Dokl. Akad. Nauk, 2013, vol. 449, no. 6, pp. 657-660. (In Russian)

Babeshko V.A. Abstracts of Papers, EPOS Preparatory Phase Regional Conf. (Prague, 2012), http://rp7.ffg.at/eu-russian_opendays.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Differential method of factorization in block-structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)

Babeshko V.A., Kalinchuk V.V. Southern Scientific Centre in the system of seismic and geodynamic monitoring of the Black Sea region. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2012, no. 1, p. 25-32. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Addressing the problem of investigating coated materials. Doklady Physics, 2006, vol. 51, iss. 9, pp. 509-512.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the problem of estimating the state of coated materials. Doklady Physics, 2006, vol. 51, iss. 8, pp. 423-428.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Title: Features of the block-element method in nonstationary problems. Doklady Physics, 2011, vol. 56, iss. 6, pp. 338-342.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Automorphism and pseudo-differential equations in the block-element method. Doklady Physics, 2011, vol. 56, iss. 6, pp. 348-351.

Babeshko V.A., Babeshko O.M., Evdokimova O.V. Block elements in the theory of plates of complex shape. Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, 2012, no. 5, pp. 92-97. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Topological methods in thetheory of hidden defects and some anomalies. Doklady Physics, 2014, vol. 59, iss. 8, pp. 379-384.

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the polytypic coverings with cracks in seismology and nanomaterials. Dokl. Akad. Nauk. (in print).

Babeshko V.A., Pavlova A.V., Ratner S.V., Williams R. To the solution of the problem of vibration of the firm solid, containing the system of the internal crack cavities. Dokl. Akad. Nauk, 2002, vol. 382, no. 5, pp. 625-628. (In Russian)

Babeshko V.A., Babeshko O.M. Method of factorization in boundary problems in unlimited areas. Dokl. Akad. Nauk, 2003, vol. 392, no. 6, pp. 767-770. (In Russian)

Babeshko V.A, Babeshko O.M. Factorization formula of some meromorphic matrix function. Dokl. Akad. Nauk, 2004, vol. 399, no. 1, pp. 163-167. (In Russian)

Babeshko V.A., Babeshko O.M. Method of factorization of some boundary-problems. Dokl. Akad. Nauk, 2003, vol. 389, no. 2, pp. 184-188. (In Russian)

Babeshko V.A., Evdokimova O.V, Babeshko O.M. About automorphism and pseudodifferential equations in the method of block-element. Dokl. Akad. Nauk, 2011, vol. 438, no.5, pp. 623-625. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. To the problem of investigation of materials with covering. Dokl. Akad. Nauk, 2006, vol. 410, no. 1, pp. 49-52. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. To the problem of state value of the materials with covering. Dokl. Akad. Nauk, 2006, vol. 409, no. 4, pp. 481-485. (In Russian)

Babeshko V.A., Belyankova T.I., Kalinchuk V.V. Method fictitious absorption in problems of the theory of flexibility for dissimilar half-space. Applied Mechanics and Mathematics, 2002, vol. 66, no. 2, pp. 276-284. (In Russian)

Vorovich I.I., Babeshko V.A. Dynamic mixed problems of the theory of elasticity for non-classical areas. Moscow, Nauka Publ., 1979, 320 p. (In Russian)

Babeshko V.A. About the systems of integral equations of the dynamic contact problems. Reports of the AS the USSR, 1975, vol. 220, no. 6, pp. 1293-1296. (In Russian)

Babeshko V.A. Static and dynamic contact problems with cohesion. Applied mathematics and dynamics, 1975, vol. 39, no. 3, pp. 505-512. (In Russian)

Babeshko V.A. Factorization of a class of matrix-functions and it’s enclosure. Reports of the AS the USSR, 1975, vol. 223, no. 5, pp. 1094-1097. (In Russian)

Babeshko V.A., Babeshko O.M. Method of factorization in the theory of viruses of vibrostrength. Dokl. Akad. Nauk, 2003, vol. 393, no. 4, pp. 473-477. (In Russian)

Pevnev A.K. The ways to practical earthquake forecast. Moscow, GEOS Publ., 2003, 154 p. (In Russian)

Reid N.F. The Mechanism of the Earthquake. The California Earthquake of April 18, 1906. Rep. of the State Investigation Commiss., vol. 2, pt. 1. Washington, 1910, 56 p.

Golitsyn B.B. The selectas. vol. 2. Moscow, Publishing house AN USSR, 1960, 465 p. (In Russian)

Gutenberg B., Richter C. Seismicity of the Earth and associated phenomena. Princeton Univ. Press, 1954, 310 p.

Rihter Ch. Elementary seismology. Moscow, Publishing house of foreign literature 1963, 670 p. (In Russian)

Gamburtsev G.A. The perspective plan of searchings of the problem ``Survey and improvement of earthquakes forecast''. Developing of ideas by G.A. Gamburtsev in geophysics. Moscow, Nauka Publ., 1982, pp. 304-311. (In Russian)

Sadovskiy M.A., Bolkhovitinov L.G., Pisarenko V.F. Deformation of geophysical environment and seismical process. Moscow, Nauka Publ., 1987, 104 p. (In Russian)

Sobolev G.A. The basics of earthquake forecast. Moscow, Nauka Publ., 1993. 313 p. (In Russian)

Keilis-Borok V.A. Dynamics of the sial zone of earth and earthquake forecast. Nature, 1989, no. 12, pp. 10-18.

Alekseev A.S., and etc. Active seismology with strong vibrational sources. Collective monograph. Publishing house SO RAN, 2004, 388 p. (In Russian)

Grigoryan S.S. About the mechanism of earthquakes beginning and content of empirical regularities of seismology. Report AN USSR, 1988, vol. 299, no. 5, pp. 1083-1087. (In Russian)

Chernov Y.K. Strong movements of subsoil and quantitative estimation of seismical danger of the territory. Tashkent, FAN Publ., 1989, 296 p. (In Russian)

Rice J. Mechanics of earthquake focus. Moscow, Mir Publ., 1982, 217 p. (In Russian)

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About different-type coverings with flaws in static problems of seismology and nanomaterials. Dokl. Akad. Nauk, 2014, vol. 469, no. 6, pp. 41-45. (In Russian)

Babeshko V.A., Vorovich I.I. Dynamic mixed tasks form the theory of elasticity for nonclassical spheres. Moscow, Nauka Publ., 1979, 320 p. (In Russian)