𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of positive solutions for second order functional differential equations

✍ Scribed by F.H. Wong; S.P. Wang; T.G. Chen

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
253 KB
Volume
56
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

We afford a existence criterion of positive solutions of a boundary value problem concerning a second order functional differential equation by using the Krasnoselskii fixed point theorem on cones in Banach spaces. Moreover, we also apply our results to establish several existence theorems of multiple positive solutions for some functional differential equations.

πŸ“œ SIMILAR VOLUMES

Existence for positive solutions of seco
Existence for positive solutions of second-order neutral nonlinear differential equations
✍ I. CulΓ‘kovΓ‘; L’. HanuΕ‘tiakovΓ‘; Rudolf Olach πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 321 KB

We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.

Positive solutions for second-order nonl
Positive solutions for second-order nonlinear differential equations
✍ Mats EhrnstrΓΆm πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 153 KB

We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.