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Methods of generalized quasilinearization for periodic boundary value problems

โœ Scribed by V. Lakshmikantham; N. Shahzad; Juan J. Nieto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
442 KB
Volume
27
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Generalized Quasilinearization and Semil
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โœ V. Lakshmikantham; A.S. Vatsala ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

The method of generalized quasilinearization is extended to semilinear elliptic problems employing both the classical and variational approaches. The results discussed are very general and include several special cases of interest.

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Solutions to the general second order nonlinear boundary value problems, arising in many physical phenomena, such as dynamic programming, fluid flow over a solid object, and heat transfer in a solid andror adjacent to a solid body in a liquid, are obtained. Also, existence, uniqueness, and convergen