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Existence and Uniqueness Criterion for Nonlocal Boundary Value Problems for Third Order Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Clark, Stephen S. Henderson, Johnny |
| Copyright Year | 2006 |
| 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/2006-134-11/S0002-9939-06-08368-7/S0002-9939-06-08368-7.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |