Abstract
Abstract In this paper, we study the existence of positive solutions for a singular second order impulsive differential equations with Stieltjes integral boundary conditions. By means of fixed point theorems, some results on the existence and multiplicity of positive solutions are obtained. Two examples are given to demonstrate the main results. MSC:34B10, 34B15, 34B18, 34B37.
Highlights
1 Introduction In this paper, we consider the existence of positive solutions for the following second-order impulsive boundary value problem (IBVP for short)
The existence results of one and two positive solutions are obtained based on the fixed point theorems in a cone
We first introduce some background definitions in a Banach space, present some basic lemmas, and present the fixed point theorems that are to be used in the proof of the main results
Summary
1 Introduction In this paper, we consider the existence of positive solutions for the following second-order impulsive boundary value problem (IBVP for short) The existence results of one and two positive solutions are obtained based on the fixed point theorems in a cone. Ma and Wang in [ ] studied the existence of positive solutions to the nonlinear boundary-value problem
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