The Symmetric Solutions for Three-Point Singular Boundary Value Problems of Differential Equation

Abstract

In this paper, by constructing a special operator and using fixed point index theorem of cone, we get the sufficient conditions for symmetric positive solution of a class of nonlinear singular boundary value problems with p-Laplace operator, which improved and generalized the result of related paper. Keywords—Banach space, cone, fixed point index, singular differential equation, p-Laplace operator, symmetric solutions.