Generalized quasilinearization method for second-order boundary value problems
โ Scribed by R.N. Mohapatra; K. Vajravelu; Y. Yin
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 77 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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
We apply the generalized quasilinearization method of V. Lakshmikantham ลฝ ลฝ . . Nonlinear Anal. 27 1996 , 223แ227 and the extended method of R. N. Mohapa-ลฝ . tra, K. Vajravelu, and Y. Yin J. Optim. Theory Appl., in press to the first order ลฝ . X ลฝ . ลฝ . ลฝ . initial value problem IVP for short x t s
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.