Local existence of solution for the delayed sixth-order Boussinesq equation with dynamic boundary conditions

Erhan  Pişkin; Zeynep Zehra  Çeçen

Local existence of solution for the delayed sixth-order Boussinesq equation with dynamic boundary conditions

Authors

Erhan Pişkin Dicle University, Department of Mathematics, Diyarbakır, Turkey
Zeynep Zehra Çeçen Dicle University, Institute of Natural and Applied Sciences, Department of Mathematics, Diyarbakır, Turkey

Keywords:

Boussinesq equation, delay, dynamic boundary, local existence.

Abstract

This work is concerned with the study of the delayed sixthorder Boussinesq equation with dynamic boundary conditions in a bounded domain. The local existence is investigated under some under suitable conditions by using Faedo-Galerkin method.