Title of article :
ON THE CORRECTNESS OF A NONLOCAL PROBLEM FOR THE SECOND ORDER MIXED TYPE EQUATION OF THE SECOND KIND IN A RECTANGLE
Author/Authors :
djamolov, sirozhiddin zuhriddinovich national university of uzbekistan - institute of mathematics, Uzbekistan
Abstract :
In this work, the correctness of a nonlocal problem from the Sobolev spaces is proven under some restrictions to the coefficients of the considered second order mixed type equation of the second kind. The proof is accomplished with multiple methods namely, ε-regularization, priory estimates, and the Galerkin method.
Keywords :
second order mixed type equation of the second kind , Sobolev space , Galerkin and ε , regularization methods
Journal title :
IIUM Engineering Journal
Journal title :
IIUM Engineering Journal