Lyapunov-type inequalities for nonlinear impulsive systems with applications

Kayar Z., Zafer A.

Electronic Journal of Qualitative Theory of Differential Equations, no.27, pp.1-13, 2016 (SCI-Expanded) identifier identifier


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.