Boundedness and square integrability of solutions of nonlinear fourth-order differential equations with bounded delay

Date

2017-02-16

Authors

Korkmaz, Erdal
Tunc, Cemil

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we give sufficient conditions for the boundedness, uniformly asymptotic stability and square integrability of the solutions to a fourth-order non-autonomous differential equation with bounded delay by using Lyapunov's second method.

Description

Keywords

stability, boundedness, Lyapunov functional, fourth order, delay differential equations, square integrability

Citation

Korkmaz, E., & Tunç, C. (2017). Boundedness and square integrability of solutions of nonlinear fourth-order differential equations with bounded delay. <i>Electronic Journal of Differential Equations, 2017</i>(47), pp. 1-13.

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Attribution 4.0 International

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