Positive solutions of the singular semipositone boundary value problem on time scales
โ Scribed by Yitao Yang; Fanwei Meng
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 301 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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๐ SIMILAR VOLUMES
The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.
This paper is devoted to study the existence of positive solutions to the second-order semipositone periodic boundary value problem x'+ a(t)x = f(t,x), x(O) = x(1), xt(0) = xt(1). Here, f(t, x) may be singular at x = 0 and may be superlinear at x = +cยข. Our analysis relies on a fixed-point theorem
In this paper, we consider the boundary value problem on the half-line where k : [0, โ) โ (0, โ) and f : [0, โ) ร [0, โ) โ R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.