Existence of positive periodic solutions to the differential equations with state-dependent delay

ZHANG Xiao-Ying; LIU Gui-Rong

doi:10.7523/j.issn.2095-6134.2007.6.002

Journal of University of Chinese Academy of Sciences >

2007 , Vol. 24 >Issue 6: 729 - 736

DOI: https://doi.org/10.7523/j.issn.2095-6134.2007.6.002

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Existence of positive periodic solutions to the differential equations with state-dependent delay

ZHANG Xiao-Ying ,
LIU Gui-Rong

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School of Mathematical Sciences, Shanxi University

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2007-11-15

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Abstract

In this paper ,we are concerned with the existence of positive periodic solutions to
the differential equations with state-dependent delay
x′(t) = −A(t, x(t))x(t) + B(x(t))F(x(t − (t, x(t)))).
Using Krasnoselskii fixed point theorem, we establish some sufficient condition for the existence
and nonexistence of positive !-periodic solutions to the above equation .

Key words： Differential equtions; Positive periodic solution; Fixed point theorem; State- dependent

Cite this article

ZHANG Xiao-Ying , LIU Gui-Rong . Existence of positive periodic solutions to the differential equations with state-dependent delay[J]. Journal of University of Chinese Academy of Sciences, 2007 , 24(6) : 729 -736 . DOI: 10.7523/j.issn.2095-6134.2007.6.002

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