𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of positive solutions for a singular semipositone differential system

✍ Scribed by Xinguang Zhang; Lishan Liu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
241 KB
Volume
47
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis


By employing a well-known fixed point index theorem and combining with a varication substitution, we study the existence of positive solutions for a singular semipositone differential system. A new existence result is established, which is in essence different from the known results. An example is presented to demonstrate the application of our main result.


πŸ“œ SIMILAR VOLUMES


Positive solutions for a class of singul
✍ S. StanΔ›k πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 571 KB

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0

On the Existence of Positive Solutions o
✍ S. Masmoudi; N. Yazidi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 112 KB

We consider the nonlinear singular differential equation where Β΅ and Οƒ are two positive Radon measures on 0 Ο‰ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the

Existence of positive solutions for a se
✍ Ruyun Ma; Bao Zhu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 749 KB

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.