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Vietnam
Journal of Mathematics 39:2 (2011) 177-190
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On the Stability and Boundedness of Solutions of a
Class of Liénard
Equations with Multiple Deviating Arguments
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Cemil Tunc
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Department of Mathematics, Faculty of Sciences, Yuzuncu Yıl University,
Van-Turkey
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Abstract. In this paper, we consider a class of
Liénard type equations with multiple variable deviating arguments. By
making use of the Lyapunov functional approach, under some suitable
conditions, it is guaranteed that solutions of the equations considered are
stable, bounded and uniformly bounded. We give three examples to illustrate
the main results.
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2000 Mathematics Subject Classification: 34K12, 34K20.
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Keywords: Liénard
equation, stability, boundedness, uniform boundedness, multiple deviating
arguments.
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Email: cemtunc@yahoo.com
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