A generalization of Bitsadze–Samarskii problem for mixed type equation
М. МирсабуровTermez State University, ul. F. Khodzhaeva, Termez, 190111, Republic of UzbekistanI. N. KhairullaevTermez State University, ul. F. Khodzhaeva, Termez, 190111, Republic of UzbekistanU. E. BobomurodovTermez State University, ul. F. Khodzhaeva, Termez, 190111, Republic of Uzbekistan
ABI
Abstract
We study a boundary-value problem with Bitsadze–Samarskii conditions on boundary characteristic on a special inner curve and on a segment of degeneration of mixed type equation. Its solvability is proved by method of integral equations, and uniqueness of solution is established by means of the maximum principle.