On Three-Point Boundary Value Problem

Abstract

Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.

Keywords:

• nonlinear three-point boundary value problem
• resonant problem
• quasilinea-rization process

AMS Subject Classification:

• 34B15
• 34B10