ENERGY DECAY OF SOLUTIONS FOR THE VISCOELASTIC NONLINEAR EQUATION WITH A INTERNAL TIME-VARYING DELAY TERM AND BOUNDARIES RELATING THE KIRCHHOFF TYPE COEFFICIENT

• 발행기관: 충청수학회
• 저자명: Daewook Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 1, 25~43쪽, 전체 19쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.02.28

국문 초록

In this work, we conduct research that includes the following boundaries related to the main equation which is the viscoelastic Kirchhoff type equation with the following nonlinear source and time-varying delay Under the smallness conditions from boundaries related to initial condition with respect to nonlinear coefficient and the relaxation function and other assumptions, we prove the energy decay rates of solutions for the Kirchhoff type energy.

목차

1. Introduction

2. Preliminaries and main results

3. Proof of Theorem 2.4 (Energy decay)

References

키워드

boundaries relating the Kirchhoff type coefficient initialboundary condition internal time-varying delay energy decay rate energy functional smallness condition.