✦ LIBER ✦

Ordinary differential equations with nonlinear boundary conditions of antiperiodic type

✍ Scribed by T Jankowski

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 466 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90134-4

No coin nor oath required. For personal study only.

✦ Synopsis

The quasilinearization method is successfully applied to differential problems with nonlinear boundary conditions of antiperiodic type. Given are sufficient conditions under which the monotone iterations converge quadratically to a unique solution of our problem. The advantage of this approach lies in the fact that the approximate solutions are obtained [teratively as solutions of the above-mentioned iterations.

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