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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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2016-01, Vol.2016 (27), p.1-13
Hauptverfasser: Kayar, Zeynep, Zafer, Agacik
Format: Artikel
Sprache:eng
Schlagworte:
differential equation
disconjugate
impulse
lyapunov inequality
nonlinear
weakly oscillatory
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Zusammenfassung: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
DOI:10.14232/ejqtde.2016.1.27