Affiliation:
1. Department of Mathematics Southwestern University of Finance and Economics Chengdu Sichuan China
2. Office for Education Accreditation Pusan National University Busan Republic of Korea
Abstract
In this paper, a viscoelastic equation with nonlinear distributed delay and nonlinear damping effects is considered. Under very general conditions that do not involve differential inequalities for the kernel function, a general decay criterion is established through the perturbed energy method and properties of convex functions. We extend the stability result of wave equation with linear delay and linear damping to the nonlinear case.
Funder
Fundamental Research Funds for the Central Universities
National Research Foundation of Korea
Subject
General Engineering,General Mathematics