Mixed problem for nonlinear Eidelman equation with integral term

The mixed problem for the nonlinear Eidelman type equation containing the integral term is considered in a bounded domain. The existence and uniqueness of solution of this problem in Sobolev's space are proved. Some estimates of this solution are setted depending on the kernel of the operator.

Bibliographic Details
Main Author: O. E. Korkuna
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/121