Abstract
In this study, under some inequality conditions, necessary and sufficient conditions, using fixed-point theorem in cones, are established for the existence of C 1 -positive solutions for a class of second-order impulsive differential equations. Two examples are given in the last section to illustrate the abstract results.
Highlights
In the present work, we consider the boundary value problem (BVP for short) of second-order impulsive differential equation: Complexity
We establish necessary and sufficient conditions for the existence of C1-positive solutions for a class of second-order impulsive differential equations. e results obtained in this study extend and improve some existing works
We state a fixed-point theorem of cone mapping, which is useful in the proof of our main results
Summary
We consider the boundary value problem (BVP for short) of second-order impulsive differential equation: Complexity. E existence of solutions for second-order differential equations, involving different boundary conditions, has been studied by many authors. We establish necessary and sufficient conditions for the existence of C1-positive solutions for a class of second-order impulsive differential equations.
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