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| Titel: |
Time degenerate Neumann initial boundary value problems and applications |
| Auteur: |
Dhaigude R.M. Sandip M. Patil Devkatte Bodkhe S.G. |
| Verschenen in: |
International journal of machine intelligence |
| Paginering: | Jaargang 2 (2010) nr. 1 pagina's 84-88 |
| Jaar: |
2010 |
| Inhoud: |
The aim of this paper is to develop monotone method for nonlinear time degenerate parabolicNeumann initial boundary value problems. These Problems are important in the Study of Physics, Ecology,Heat and Mass Transfer and any other branches of science and Engineering. Monotone Method is one ofthe important method in the theory of differential equations The main idea of this method is to developiterative scheme based on the notion of upper and lower solutions. Using upper and lower solutions asdistinct initial iterations, two monotone sequences are constructed. It is shown that these two sequencesconverge monotonically from about and below to maximal and minimal solutions respectively which lead tothe existence – comparison and uniqueness results for the solution of nonlinear time degenerate NeumannIBVP. Positivity lemma is also obtained which play an important role in the proofs of these results. |
| Uitgever: |
Bioinfo Publications (provided by DOAJ) |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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