Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations

Božena Dorociaková; Rudolf Olach

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 361-369
  • ISSN: 2391-5455

Abstract

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The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.

How to cite

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Božena Dorociaková, and Rudolf Olach. "Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations." Open Mathematics 14.1 (2016): 361-369. <http://eudml.org/doc/281325>.

@article{BoženaDorociaková2016,
abstract = {The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.},
author = {Božena Dorociaková, Rudolf Olach},
journal = {Open Mathematics},
keywords = {Positive periodic solution; Delay differential equation; Nonlinear; Exponential stability; Red blood cells; Banach space; positive periodic solution; delay differential equation; exponential stability},
language = {eng},
number = {1},
pages = {361-369},
title = {Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations},
url = {http://eudml.org/doc/281325},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Božena Dorociaková
AU - Rudolf Olach
TI - Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 361
EP - 369
AB - The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.
LA - eng
KW - Positive periodic solution; Delay differential equation; Nonlinear; Exponential stability; Red blood cells; Banach space; positive periodic solution; delay differential equation; exponential stability
UR - http://eudml.org/doc/281325
ER -

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