A boundary value problem about the aggregate behavior of lithospheric plates, located on a deformable substrate, while changing their relative position is considered. On the example of two semi-infinite lithospheres' plates with straight boundaries, which are able to approach, we clarify the behavior properties of such block structures that can conduct to earthquakes. The boundary value problem was reduced to functional equations transformed to pseudo differential equations applying the topological method. The factorization of the matrix-functions were made and the exterior forms were used to calculate the Lere residue. The solving of the Wiener and Hopf equations were performed and the asymptotic behavior of the solutions were received. Domestic and foreign seismologists did not previously note them. The properties of such earthquakes are described.

Рассматривается граничная задача о поведении совокупности литосферных плит, находящихся на деформируемой подложке, при изменении их взаимного расположения. На примере двух полубесконечных литосферных плит с прямолинейными границами, способных сближаться, выяснены особенности поведения таких блочных структур. Указанные особенности могут приводить к землетрясениям, ранее не отмеченным отечественными и зарубежными сейсмологами. Описаны свойства таких землетрясений.