Positive Solutions for a Class of Singular Two Point Boundary Value Problems

Abstract

Abstract. Existence of positive solution for a class of singular boundary value problems of the typeis allowed to change sign and is singular at t = 0, t = 1 and/or x = 0. An example is included to show the applicability of our result.

Existence and uniqueness of solution for a second order boundary value problem

“…Excellent surveys of theoretical results can be found in Agarwal [1] and Ma [14]. More results can be found in [2,3,4,5,7,8,9,10,12,13] . Most of the results dealing with these problems used the nonlinear alternative of Leray-Schauder, or more generally the theory of …xed point on the cone.…”

Solvability of a nonlinear boundary value problem

“…Many of the results involving nonlocal boundary value problems are studied in [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Using the Leray-Schauder nonlinear alternative some results on the existence of solutions for the equation (1.1) subject to the conditions u (0) = 0, u (1) = αu (η) can be found in [12,20].…”

On the Positive and Negative Solutions of Laplacian BVP With Neumann Boundary Conditions

“…In [9] for semipositone problems, existence and multiplicity results have been established with Laplacian operator and Neumann boundary value conditions. Also, in [3], [6] and [8] for semipositone problems with Laplacian operator have been studied for solution curves with Dirichlet boundary value conditions. This paper is organized as follows.…”