Asymptotic integration of second-order impulsive differential equations

Date

2018-02-01

Author

Akgol, S. D.
Zafer, Ağacık

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We initiate a study of the asymptotic integration problem for second-order nonlinear impulsive differential equations. It is shown that there exist solutions asymptotic to solutions of an associated linear homogeneous impulsive differential equation as in the case for equations without impulse effects. We introduce a new constructive method that can easily be applied to similar problems. An illustrative example is also given.

Subject Keywords

Second-order, Impulsive, Differential equation, Principal/nonprincipal solution, Asymptotic integration

URI

https://hdl.handle.net/11511/57981

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2017.07.010

Collections

Department of Mathematics, Article

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Citation Formats

S. D. Akgol and A. Zafer, “Asymptotic integration of second-order impulsive differential equations,” APPLIED MATHEMATICS LETTERS, pp. 1–7, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57981.