Samed J. Aliyev, Maftun N. Heydarova , Arzu G. Aliyeva Aliyeva

ON THE EXISTENCE OF CLASSICAL SOLUTION TO ONE-DIMENSIONAL FOURTH ORDER SEMILINEAR EQUATIONS

Introduction

On the existence of classical solution to one-dimensional fourth order semilinear equations. This paper proves the existence of classical solutions for one-dimensional fourth order semilinear Sobolev type equations using the contracted mapping and Schauder's fixed point principles.

Abstract

In this paper, we prove the existence in small of classical solution of one-dimensional mixed problem for one class of fourth order semilinear Sobolev type equations by combining the generalized contracted mapping principle with Schauder’s fixed point principle. Received: December 22, 2023Accepted: February 6, 2024

Full Text

Comments

You need to be logged in to post a comment.