๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A new existence theory for positive periodic solutions to functional differential equations

โœ Scribed by Aying Wan; Daqing Jiang; Xiaojie Xu


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
308 KB
Volume
47
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper deals with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equation by employing the fixed-point theorem in cones. Applying the general theorems established to several biomathematieal models, the paper improves some previous results and obtains some new results.


๐Ÿ“œ SIMILAR VOLUMES


A new existence theory for positive peri
โœ Xiaoyue Li; Xiaoying Zhang; Daqing Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 475 KB

The principle of this paper is to deal with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments. Easily verifiable sufficient criteria are established. The approach is based on the fixed-point theor

Existence of positive solutions for func
โœ Chen-Huang Hong; Cheh-Chih Yeh; Chung-Fen Lee; Fu-Hsiang Wong ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 417 KB

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

Existence of positive periodic solutions
โœ Yan Luo; Weibing Wang; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

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.

Existence of multiple positive solutions
โœ Chuan-Zhi Bai; Jin-Xuan Fang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 487 KB

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 and multiplicity of positive p
โœ Xiaoyue Li; Xiaoning Lin; Daqing Jiang; Xiaoying Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

This paper deals with a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria are established. The