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Existence of positive solutions for a semipositone boundary value problem on the half-line

✍ Scribed by Ruyun Ma; Bao Zhu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
749 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we consider the boundary value problem on the half-line

where k : [0, ∞) β†’ (0, ∞) and f : [0, ∞) Γ— [0, ∞) β†’ R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.

πŸ“œ SIMILAR VOLUMES

On Positive Solutions of Boundary Value
On Positive Solutions of Boundary Value Problems on the Half-Line
✍ MirosΕ‚awa Zima πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

We study the existence of positive solutions of boundary value problems on the half-line for differential equations of second order. The Krasnoselskii fixed point theorem on cone compression and expansion is used.

The existence of countably many positive
The existence of countably many positive solutions for nonlinear singular -point boundary value problems on the half-line
✍ Sihua Liang; Jihui Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 657 KB

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line where Ο• : R β†’ R is the increasing homeomorphism and positive homomorphism an