We consider the following boundary value problem, whcre n \_> 2, 1 \_< p \_< n -1 is fixed and T is a time scale. By applying fixed-point theorems for operators on a cone, existence criteria are developed for triple positive solutions of the boundary value problem. We also include examples to illus
Positive Solutions of Two-point right focal boundary value problems on time scales
โ Scribed by K.L. Boey; Patricia J.Y. Wong
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 956 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
We consider the following boundary value problem,
where n _> 2, 1 _< p _< n-1 is fixed and T is a time scale. Criteria for the existence of single, double, and multiple positive solutions of the boundary value problem are developed. Upper and lower bounds for these positive solutions are established for two special cases that arise from some physical phenomena. We also include several examples to illustrate the usefulness of the results obtained. (~)
๐ SIMILAR VOLUMES
In this paper, by using fixed point theorems in a cone and the associated Green's function, we study the existence of at least two and three positive solutions to the m-point boundary value problem (BVP) on time scales,
In this paper, we consider the nonlinear second-order three-point boundary value problem where T is a time scale, 0 โค t 1 < t 2 < t 3 , ฮฑ > 0 and ฮฒ โฅ 0 are given constants. By using fixed-point theorems in cones, some new results are obtained for the existence of at least one,two and three positive