Approximation of Solutions for Second-Order m-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization

Approximation of Solutions for Second-Order m-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization

We discuss the existence and uniqueness of the solutions of a second-orderm -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.

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Veröffentlicht in:Boundary value problems 2011, Vol.2011, p.1-17
1. Verfasser: Alsaedi, Ahmed
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Mathematical models
Studies
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Beschreibung
Zusammenfassung:We discuss the existence and uniqueness of the solutions of a second-orderm -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.
ISSN:1687-2762
1687-2770
DOI:10.1155/2011/929061