Positive solutions for infinite semipositone problems with falling zeros
โ Scribed by Eun Kyoung Lee; R. Shivaji; Jinglong Ye
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 239 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
We study classes of boundary value problems involving the p-Laplacian operator and nonlinearities which have falling zeroes. We analyze the existence and multiplicity of positive solutions when a parameter is large. We use the method of sub-supersolutions to establish our results.
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
For 1 F k F n y 1, positive solutions are obtained for the boundary value problem ## ลฝ . ลฝ . where f x, y G yM, and M is a positive constant. We show the existence of positive solutions by using a fixed point theorem in cones.