In this paper, the existence of at least three positive solutions for the boundary value problem (BVP) of second-order functional differential equation with the form Y"(t) + f (6 Yt
Existence of positive solutions for functional differential equations
โ Scribed by Chen-Huang Hong; Cheh-Chih Yeh; Chung-Fen Lee; Fu-Hsiang Wong
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 417 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
Under suitable conditions on f(t, yt (0)), the boundary value problem of second-order functional differential equation (FDE) with the form:
( ~y(t) + 5y'(t) = ~(t), for t E [1, 1 + a],
(BVP) has at least one positive solution. Moreover, we also apply this main result to establish several existence theorems which guarantee (BVP) has the multiple positive solutions. (~) 2000 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
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 multip
In this work, we deal with a new existence theory for positive periodic solutions for two kinds of neutral functional differential equations by employing the Krasnoselskii fixed-point theorem. Applying our results to various mathematical models we improve some previous results.