Delay differential equations: theory and applications

Marek Bodnar, and Monika Joanna Piotrowska. "Delay differential equations: theory and applications." Mathematica Applicanda 38.1 (2010): null. <http://eudml.org/doc/292719>.

@article{MarekBodnar2010,
abstract = {Delay differential equations are used in mathematical models of biological, biochemical or medical phenomenons. Although the structure of these equations is similar to ordinary differential equations, the crucial difference is that a delay differential equation (or a system of equations) is an infinite dimensional problem and the corresponding phase space is a functional space — usually the space of continuous functions is considered.In this paper we present the basic theory of delay differential equations as well as some example of applications to models of biological, medical and biochemical systems.},
author = {Marek Bodnar, Monika Joanna Piotrowska},
journal = {Mathematica Applicanda},
keywords = {delay differential equations, uniqueness of solutions, stability of s steady state, Hopf bifurcation, mathematical models},
language = {eng},
number = {1},
pages = {null},
title = {Delay differential equations: theory and applications},
url = {http://eudml.org/doc/292719},
volume = {38},
year = {2010},
}

TY - JOUR
AU - Marek Bodnar
AU - Monika Joanna Piotrowska
TI - Delay differential equations: theory and applications
JO - Mathematica Applicanda
PY - 2010
VL - 38
IS - 1
SP - null
AB - Delay differential equations are used in mathematical models of biological, biochemical or medical phenomenons. Although the structure of these equations is similar to ordinary differential equations, the crucial difference is that a delay differential equation (or a system of equations) is an infinite dimensional problem and the corresponding phase space is a functional space — usually the space of continuous functions is considered.In this paper we present the basic theory of delay differential equations as well as some example of applications to models of biological, medical and biochemical systems.
LA - eng
KW - delay differential equations, uniqueness of solutions, stability of s steady state, Hopf bifurcation, mathematical models
UR - http://eudml.org/doc/292719
ER -