On a problem with three variants of shift conditions for mixed type equation
М. МирсабуровTermez State University, ul. F. Khodzhaeva 43, Termez, 190111, Republic of UzbekistanS. T. ChorievaTermez State University, ul. F. Khodzhaeva 43, Termez, 190111, Republic of Uzbekistan
ABI
Abstract
For mixed type equation we study a problem where shift conditions are given in inner characteristics, on degeneration line, and on the boundary of elliptic domain. With the help of the maximum principle we prove the uniqueness of a solution to the problem, and with the help of the method of integral equations we prove the existence of a solution to the problem.
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