Stability, boundedness and uniform boundedness of solutions of nonlinear delay differential equations

Cemil Tunç

doi:10.3934/proc.2011.2011.1395

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2011, Volume 2011: 1395-1403. Doi: 10.3934/proc.2011.2011.1395 open access

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Stability, boundedness and uniform boundedness of solutions of nonlinear delay differential equations

Cemil Tunç^1,

1.
Department of Mathematics, Faculty of Sciences, Yüzüncü Yil University, 65080, Van

Received: May 31, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

In this paper, we consider a Lienard equation with multiple variable deviating arguments. By using the Lyapunov second (direct) method, we discuss the stability, boundedness and uniform boundedness of solutions of the equation considered. An example is given to illustrate the feasibility of the proposed results.

Keywords:

Liénard equation; multiple deviating arguments; stability; boundedness; uniform boundedness.

Mathematics Subject Classification: 34K20.

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