Existence of solution for discontinuous third order boundary value problems
β Scribed by Alberto Cabada; Susana Lois
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 97 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this paper, we obtain existence results for the problem u =q(u )
and suppose the existence of lower and upper solutions. The existence of solution for the ΓΏrst considered conditions is obtained as a consequence of the ΓΏxed-points theorems. We obtain the solution of the second problem as a limit of solutions of the ΓΏrst case. For the ΓΏrst problem, the monotone method is developed.
π SIMILAR VOLUMES
we use the lower and upper solutions method and the fixed-point theorem on cone to establish several existence results of a third-order two-point boundary value problem.
T x lR3 -+ W is continuous, we assume solutions of initial value problems are unique and extend to T. We consider questions of the uniqueness of solutions implying the existence of solutions for conjugate boundary problems on T.