Uniqueness implies existence for (n, p) boundary value problems

Abstract

The uniqueness of solutions of certain boundary value problems implies their existence for the nth order nonlinear ordinary differential equation y⁽ⁿ⁾=f(x,y,y^',y^'',....,y^(n-1)) This existence is established by using shooting methods and yields results for (n,p) boundary value problems.

Keywords:

• Boundary value problem
• uniqueness
• existence
• shooting method

AMS:

• 34B15