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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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BibTeX
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.