Approximation of Solutions for Second-Order <inline-formula> <graphic file="1687-2770-2011-929061-i1.gif"/></inline-formula>-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization
<p/> <p>We discuss the existence and uniqueness of the solutions of a second-order <inline-formula> <graphic file="1687-2770-2011-929061-i2.gif"/></inline-formula>-point nonlocal boundary value problem by applying a generalized quasilinearization technique. A...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/929061 |
| Summary: | <p/> <p>We discuss the existence and uniqueness of the solutions of a second-order <inline-formula> <graphic file="1687-2770-2011-929061-i2.gif"/></inline-formula>-point nonlocal boundary value problem by applying a generalized quasilinearization technique. A monotone sequence of solutions converging uniformly and quadratically to a unique solution of the problem is presented.</p> |
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| ISSN: | 1687-2762 1687-2770 |