Principal and nonprincipal solutions of impulsive differential equations with applications


ÖZBEKLER A., Zafer A.

APPLIED MATHEMATICS AND COMPUTATION, vol.216, no.4, pp.1158-1168, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 216 Issue: 4
  • Publication Date: 2010
  • Doi Number: 10.1016/j.amc.2010.02.008
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.1158-1168
  • Keywords: Principal, Nonprincipal, Polya factorization, Trench factorization, Impulse, Second order, 2ND-ORDER, OSCILLATION

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.