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Lyapunov-type inequalities for nonlinear impulsive systems with applications

2016
Kayar, Zeynep
Zafer, Agacik
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.