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Lyapunov-type inequalities for nonlinear impulsive systems with applications
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10.14232:ejqtde.2016.1.27.pdf
Date
2016
Author
Kayar, Zeynep
Zafer, Agacik
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions and the boundedness of weakly oscillatory solutions.
Subject Keywords
Differential equation
,
Nonlinear
,
Impulse
,
Lyapunov inequality
,
Weakly oscillatory
,
Disconjugate
URI
https://hdl.handle.net/11511/51415
Journal
Electronic Journal of Qualitative Theory of Differential Equations
DOI
https://doi.org/10.14232/ejqtde.2016.1.27
Collections
Department of Mathematics, Article