Johnny Henderson, Ding Ma

Existence of Solutions for Fourth Order Nonlocal Boundary Value Problems

Abstract:
Uniqueness implies existence results are obtained for solutions of the fourth order ordinary differential equation, $y^{(4)} = f(x, y, y', y'', y''')$, satisfying 5-point, 4-point and 3-point nonlocal boundary conditions.

Keywords:
Nonlocal boundary value problem, uniqueness, existence, ordinary differential equation.

MSC 2000: 34B10, 34B15