Problem with shift on parallel characteristics for Gellerstedt equation with singular coefficient
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
Annotatsiya
We study correctness for a problemwith an analog of Frankl condition on a degeneration line segment and dislocation conditions on parallel characteristics for Gellerstedt equation with singular coefficient. With the help of maximum principle we prove uniqueness of a solution to the problem and with the method of integral equations we prove the existence of a solution to the problem.
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