VARIATIONAL PROBLEM FOR SOME CLASS OF NONLINEAR PSEUDOPARABOLIC OPERATORS

A. A. Petrosyan

doi:10.46991/PYSU:A/2008.42.1.024

VARIATIONAL PROBLEM FOR SOME CLASS OF NONLINEAR PSEUDOPARABOLIC OPERATORS

Authors

A. A. Petrosyan Chair of the Optimal Control Theory and Approximate Methods, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2008.42.1.024

Keywords:

pseudoparabolic operators, initial–boundary value problem

Abstract

In the paper a variational inequality is considered for pseudoparabolic operators. The theorem of existence and uniqueness of weak solution is proved. Also it’s proved the solvability of corresponding initial–boundary value problem and is shown it to be equivalent to variational inequality.

Downloads

Published

2023-09-06

How to Cite

Petrosyan, A. A. (2023). VARIATIONAL PROBLEM FOR SOME CLASS OF NONLINEAR PSEUDOPARABOLIC OPERATORS. Proceedings of the YSU A: Physical and Mathematical Sciences, 42(1 (215), 24–33. https://doi.org/10.46991/PYSU:A/2008.42.1.024