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,
Positive solutions for a class of boundary value problems on time scales
โ Scribed by Meiqiang Feng; Xuemei Zhang; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 241 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
By obtaining intervals of the parameter ฮป, this paper is concerned with the existence and nonexistence of positive solution of the second-order nonlinear dynamic equation on time scales
where T is a time scale, ฮฑ โฅ 0, ฮณ โฅ 0, ฮฒ > 0, ฮด > 0 with ฮฑ + ฮณ > 0. The arguments are based upon fixed point theorems in a cone.
๐ SIMILAR VOLUMES
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
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 establi