Principal and Nonprincipal Solutions of Impulsive Differential Equations With Applications

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Date

2010

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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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20

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Volume

216

Issue

4

Start Page

1158

End Page

1168

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