Two-point and three-point boundary value problems for nth-order nonlinear differential equations

Abstract

In this article, we are concerned with existence and uniqueness of solutions of four kinds of two-point boundary value problems for nth-order nonlinear differential equations by “Shooting” method, and studied existence and uniqueness of solutions of a kind of three-point boundary value problems for nth-order nonlinear differential equations by “Matching” method.

Keywords:

• nth-Order nonlinear differential equations
• Two-point boundary value problems
• Three-point boundary value problems
• Existence
• Uniqueness

Keywords:

• 2000 Mathematics Subject Classifications: 34B10
• 34B15