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
β¦ LIBER β¦
Existence of solutions for third-order boundary value problems on a time scale
β Scribed by J. Henderson; W.K.C. Yin
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 625 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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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.