Problems with mean curvature-like operators and three-point boundary conditions

TL;DR

This paper investigates the existence of solutions for a new class of nonlinear differential equations with three-point boundary conditions, employing the Leray-Schauder degree theory to establish results.

Contribution

It introduces a novel class of nonlinear differential equations with three-point boundary conditions and applies Leray-Schauder degree theory to prove solution existence.

Findings

Existence of solutions established for the new class of equations.

Application of Leray-Schauder degree theory to boundary value problems.

Extension of solution existence results to nonlinear differential equations with three-point conditions.

Abstract

In this paper we study the existence of solutions for a new class of nonlinear differential equations with three-point boundary conditions. Existence of solutions are obtained by using the Leray-Schauder degree.