I. G. Mamedov

On Correct Solvability of a Problem with Loaded Boundary Conditions for a Fourth Order Pseudoparabolic Equation

abstract:
It is known that different conditions can be found for correct solvability of the non-local problem. In this sense, in the paper we find correct solvability conditions of the non-local problem with loaded boundary conditions in the integral form for a fourth order pseudoparabolic equation.

Mathematics Subject Classification: 35S15, 35L35, 35L25, 47G30

Key words and phrases: Pseudoparabollic equations, nonlocal boundary-value problem, Goursat problem, homeomorphism, loaded boundary conditions