Principal and nonprincipal solutions of impulsive differential equations with applications

Date

2010-04-15

Author

ÖZBEKLER, ABDULLAH
Zafer, Ağacık

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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.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/51862

Journal

APPLIED MATHEMATICS AND COMPUTATION

DOI

https://doi.org/10.1016/j.amc.2010.02.008

Collections

Department of Mathematics, Article

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Citation Formats

A. ÖZBEKLER and A. Zafer, “Principal and nonprincipal solutions of impulsive differential equations with applications,” APPLIED MATHEMATICS AND COMPUTATION, pp. 1158–1168, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51862.