Positive periodic solutions of functional differential equations with infinite delay

Changxiu Song

Annales Polonici Mathematici (2008)

  • Volume: 93, Issue: 1, page 75-83
  • ISSN: 0066-2216

Abstract

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The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation x ' ( t ) = - a ( t , x ( t ) ) x ( t ) + f ( t , x t ) . Sufficient conditions are established for the existence of multiple positive periodic solutions.

How to cite

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Changxiu Song. "Positive periodic solutions of functional differential equations with infinite delay." Annales Polonici Mathematici 93.1 (2008): 75-83. <http://eudml.org/doc/280492>.

@article{ChangxiuSong2008,
abstract = {The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation $x^\{\prime \}(t)=-a(t,x(t))x(t)+f(t,x_t)$. Sufficient conditions are established for the existence of multiple positive periodic solutions.},
author = {Changxiu Song},
journal = {Annales Polonici Mathematici},
keywords = {functional differential equation; positive periodic solutions; cone; fixed point theorem},
language = {eng},
number = {1},
pages = {75-83},
title = {Positive periodic solutions of functional differential equations with infinite delay},
url = {http://eudml.org/doc/280492},
volume = {93},
year = {2008},
}

TY - JOUR
AU - Changxiu Song
TI - Positive periodic solutions of functional differential equations with infinite delay
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 1
SP - 75
EP - 83
AB - The author applies a generalized Leggett-Williams fixed point theorem to the study of the nonlinear functional differential equation $x^{\prime }(t)=-a(t,x(t))x(t)+f(t,x_t)$. Sufficient conditions are established for the existence of multiple positive periodic solutions.
LA - eng
KW - functional differential equation; positive periodic solutions; cone; fixed point theorem
UR - http://eudml.org/doc/280492
ER -

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