Georgian Mathematical Journal 13 (2006), No. 3, 473--484
Copyright Heldermann Verlag 2006
Existence of Solutions for Fourth Order Nonlocal Boundary Value Problems
Johnny Henderson
Dept. of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.
Johnny_Henderson@baylor.edu
Ding Ma
Dept. of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.
jsdingma@yahoo.com
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: 34B10, 34B15
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