A static boundary about the interaction of lithospheric plates, contacting at a fault and locating on a deformable foundation is considered. The problem is reduced to the research and solution of the system of Wiener-Hopf functional equations, the exact solution of which is obtained recently. 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. As a result of researches, it is shown that unlimited stress concentration occurs under certain conditions of the interaction nature between the ends of lithospheric plates to each other and the external environment in the fault zone.

Рассматривается статическая граничная задача о взаимодействии литосферных плит, контактирующих на разломе и находящихся на деформируемом основании. Топологическим методом задача сведена к исследованию и решению системы функциональных уравнений Винера-Хопфа, точное решение которых получено лишь в последнее время. Показано, что при определенных условиях взаимодействия между собой торцов литосферных плит, а также внешних условиях в зоне разлома возникает неограниченная концентрация напряжений.