Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations |
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| Authors: | Paul W Eloe Johnny Henderson |
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| Institution: | a Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA
b Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA |
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| Abstract: | For the nth order differential equation, y(n)=f(x,y,y′,…,y(n−1)), we consider uniqueness implies existence results for solutions satisfying certain nonlocal (k+2)-point boundary conditions, 1?k?n−1. Uniqueness of solutions when k=n−1 is intimately related to uniqueness of solutions when 1?k?n−2. These relationships are investigated as well. |
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| Keywords: | Boundary value problem Uniqueness Existence Nonlocal |
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