Principal and Nonprincipal Solutions of Impulsive Differential Equations With Applications
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Date
2010
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Publisher
Elsevier Science inc
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Abstract
We introduce the concept of principal and nonprincipal solutions for second order differential equations having fixed moments of impulse actions is obtained. The arguments are based on Polya and Trench factorizations as in non-impulsive differential equations, so we first establish these factorizations. Making use of the existence of nonprincipal solutions we also establish new oscillation criteria for nonhomogeneous impulsive differential equations. Examples are provided with numerical simulations to illustrate the relevance of the results. (C) 2010 Elsevier Inc. All rights reserved.
Description
Zafer, Agacik/0000-0001-8446-1223; Ozbekler, Abdullah/0000-0001-5196-4078
Keywords
Principal, Nonprincipal, Polya factorization, Trench factorization, Impulse, Second order
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Citation
20
WoS Q
Q1
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Source
Volume
216
Issue
4
Start Page
1158
End Page
1168