Abstract
In this paper, we study the existence and uniqueness of positive solution for 2mth-order nonlinear differential equation with boundary conditions, by using the fixed point theorems on compression and expansion of cones.
Highlights
Many authors studied the existence and multiplicity of positive solutions for the boundary value problem of even-order differential equations since it arose naturally in many different areas of applied mathematics and physics.In [4] by applying the theory of differential inequalities, the author established the existence of positive solution for the third-order differential equation
In [5], the authors derived the Green function of the 2mth-order nonlinear differential equation, and established the existence of positive solutions for BVP, by using the fixed point theorems on compression and expansion of cones
There are a few articles devoted to the uniqueness problem by using the fixed point theorem
Summary
Many authors studied the existence and multiplicity of positive solutions for the boundary value problem of even-order differential equations since it arose naturally in many different areas of applied mathematics and physics (see [1]-[3]).In [4] by applying the theory of differential inequalities, the author established the existence of positive solution for the third-order differential equation. Many authors studied the existence and multiplicity of positive solutions for the boundary value problem of even-order differential equations since it arose naturally in many different areas of applied mathematics and physics (see [1]-[3]). In [4] by applying the theory of differential inequalities, the author established the existence of positive solution for the third-order differential equation.
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