Instability to vector lienard equation with multiple delays

Cemil Tunc

doi:10.4067/S0719-06462015000100001

Instability to vector lienard equation with multiple delays

Authors

Cemil Tunc Department of Mathematics, Faculty of Science, Yüzüncü YÄ±l University 65080, Van, Turkey

DOI:

https://doi.org/10.4067/S0719-06462015000100001

Keywords:

Lienard, Lyapunov-Krasovskii functional, instability, delay

Abstract

By making use of a special Lyapunov-Krasovskii functional and applying Krasovskii‘s properties, we prove instability of zero solution of a modified vector Lienard equation with multiple constant delays that includes Van der Pol, Rayleigh and Lienard equations, widely encountered in applications.