Lyapunov-type inequalities for nonlinear impulsive systems with applications

Lyapunov-type inequalities for nonlinear impulsive systems with applications

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 t...

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Bibliographic Details
Main Authors: Zeynep Kayar, Agacik Zafer
Format: Article
Language:English
Published: University of Szeged 2016-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
differential equation
nonlinear
impulse
lyapunov inequality
weakly oscillatory
disconjugate
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4524
Description
Summary: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.
ISSN:1417-3875
1417-3875

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