Lyapunov-type inequalities for nonlinear impulsive systems with applications

Abstract

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.

Keywords

• differential equation
• nonlinear
• impulse
• lyapunov inequality
• weakly oscillatory
• disconjugate