Three-point boundary value problem for nonlinear second-order differential equation with parameter

Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions

The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.

The Symmetric Positive Solutions of Three-point Boundary Value Problems for Nonlinear Second-order Differential Equations

In this paper, we are concerned with the existence of symmetric positive solutions for second-order differential equations. Under suitable conditions, the existence of symmetric positive solutions are established by using Krasnoselskii’s fixed-point theorems.

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Existence of a solution for a three-point boundary value problem for a second-order differential equation at resonance

*Correspondence: [email protected] Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Abstract We present a new existence result for a second-order nonlinear ordinary differential equ...

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation