On systems of integral equations with a difference kernel
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-19-1-42-44Abstract
A number of mixed problems of continuum mechanics and mathematical physics are reduced to solving systems of integral equations, whose kernels have singular or logarithmic features. In the case when a layered medium is considered, the kernels of integral equations depend on the difference of arguments. Such systems of integral equations include the Wiener-Hopf equations. The paper develops a method for studying such systems of integral equations, which is based on a method developed for the case of a system consisting of two equations. When studying a number of similar problems for systems of integral equations of finite number, it is sufficient to represent the general form of each component of the solution. A general representation of the solution of such a system of integral equations is given. It can serve the purposes of studying the types of stress concentration at the edges of its research area.
Keywords:
systems of integral equations, meromorphic functions, factorization, general form of solutionAcknowledgement
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Copyright (c) 2022 Babeshko V.A., Babeshko O.M., Evdokimova O.V., Khripkov D.A., Uafa G.N., Lozovoy V.V., Pluzhnik A.V.
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