Title

Uniqueness Implies Existence and Uniqueness Criterion for Nonlocal Boundary Value Problems for Third Order Differential Equations

Abstract

For the third order differential equation, y''' = f(x, y, y', y''), we consider uniqueness implies existence results for solutions satisfying the nonlocal 4-point boundary conditions, y(x1) = y1, y(x2) = y2, y(x3) − y(x4) = y3. Uniqueness of solutions of such boundary value problems is intimately related to solutions of the third order equation satisfying certain nonlocal 3-point boundary conditions. These relationships are investigated as well.

Department(s)

Mathematics and Statistics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

boundary value problem; nonlocal

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 American Mathematical Society, All rights reserved.

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