Periodic solutions for scalar functional differential equations

Dan Ye; Meng Fan; Haiyan Wang

doi:10.1016/j.na.2005.03.084

Periodic solutions for scalar functional differential equations

Dan Ye, Meng Fan, Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

Sufficient criteria are established for the existence of positive periodic solutions of scalar functional differential equations, which improve and generalize some related results in the literature. The approach is based on the Krasnoselskii's fixed point theorem. Numerical simulations are presented to support the analytical analysis.

Original language	English (US)
Pages (from-to)	1157-1181
Number of pages	25
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	62
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2005.03.084
State	Published - Sep 15 2005

Keywords

Numerical simulations
Periodic solution
Scalar differential equations
The Krsnoselskii fixed point theorem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2005.03.084

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title = "Periodic solutions for scalar functional differential equations",

abstract = "Sufficient criteria are established for the existence of positive periodic solutions of scalar functional differential equations, which improve and generalize some related results in the literature. The approach is based on the Krasnoselskii's fixed point theorem. Numerical simulations are presented to support the analytical analysis.",

keywords = "Numerical simulations, Periodic solution, Scalar differential equations, The Krsnoselskii fixed point theorem",

author = "Dan Ye and Meng Fan and Haiyan Wang",

year = "2005",

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day = "15",

doi = "10.1016/j.na.2005.03.084",

language = "English (US)",

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AU - Fan, Meng

AU - Wang, Haiyan

PY - 2005/9/15

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AB - Sufficient criteria are established for the existence of positive periodic solutions of scalar functional differential equations, which improve and generalize some related results in the literature. The approach is based on the Krasnoselskii's fixed point theorem. Numerical simulations are presented to support the analytical analysis.

KW - Numerical simulations

KW - Periodic solution

KW - Scalar differential equations

KW - The Krsnoselskii fixed point theorem

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Periodic solutions for scalar functional differential equations

Abstract

Keywords

ASJC Scopus subject areas

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