Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem

Existence Results for Boundary Value Problems of Differential Inclusions with Three-Point Integral Boundary Conditions

“…In order to define the solution of 1.1 , we consider the following lemma whose proof is given in [14]. …”

Positive solutions of nonlinear third-order boundary value problem with integral boundary conditions

“…For some other results on boundary value problem, we refer the reader to the papers [4,7,12,[14][15][16][17].…”

Positive solutions for a second-order difference equation with summation boundary conditions

“…Then Gupta [5] studied three-point boundary value problems for nonlinear second order ordinary differential equations. Since then, the existence of positive solutions for nonlinear second-order three point boundary value problems have also been studied by many authors by using the fixed point theorems or coincidence degree theory, one may see the text books [1,2] and the papers [3][4][5][6][7][10][11][12][13][14][15][16][17].…”

“…In this paper, we are interested in the analysis of qualitative theory of the problems of the existence of positive solutions to second-order difference equations. Inspired and motivated by the works mentioned above and the papers [3][4][5][6][7][10][11][12][13][14][15][16][17] and the references therein, we concentrate on the existence of positive solutions for the following secondorder difference equation with three-point summation boundary value problem…”