"Uniqueness Implies Existence and Uniqueness Criterion for Nonlocal Bou" by Stephen L. Clark and Johnny Henderson
 

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.

Publication Date

01 Jan 2006

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