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Vietnam Journal of Mathematics 35:3(2007)
285-298
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Instability of Impulsive Hybrid State
Dependent Delay Differential Systems
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Bashir Ahmad
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Abstract. In this paper, we present the
sufficient conditions ensuring the instability of the zero solution of an
impulsive state dependent delay differential system for different
conditions on the delay function. We assume the instability of the
associated linear impulsive system and apply the idea of dichotomies
together with Schauder--Tychonoff Theorem to establish the sufficient
conditions for the unstable solution of the problem at hand.
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2000 Mathematics Subject Classification: 4D20, 34K20,
34K45.
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Keywords: Impulsive differential system, state
dependent delay, (h, k) -dichotomies.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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