Using a fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to three-point boundary value problems for second order impulsive differential equations. MSC: 34B15; 34B10; 34B18

In this paper, we investigate the existence and uniqueness of solutions to boundary-value problems for second-order impulsive differential equations at resonance. To obtain these results, we apply fixed point methods and new differential inequalities.

In this paper we investigate the existence of solutions to some classes of boundary value problems for impulsive functional and neutral functional differential equations with infinite delay, using the nonlinear alternative of Leray-Schauder type.

In this work we investigate via Ky Fan’s inequality the existence of solutions to impulsive problems with the (p1(t), p2 (t))-Laplacian systems and Dirichlet boundary value conditions.

In this contribution, we consider a class of hybrid systems with continuous dynamics and jumps in the continuous state (impulsive hybrid systems). By using a newly elaborated version of the Pontryagintype Maximum Principle (MP) for optimal control processes governed by hybrid dynamics with autonomous location transitions, we extend the necessary optimality conditions to a class of Impulsive Hyb...