Geodesic
Delay differential equations: theory and applications
Mathematica Applicanda, Tome 38 (2010) no. 1, pp. 17-56.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/ma.v38i1.258
Mots-clés : delay differential equations, uniqueness of solutions, stability of s steady state, Hopf bifurcation, mathematical models 
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Marek Bodnar; Monika Joanna Piotrowska. Delay differential equations: theory and applications. Mathematica Applicanda, Tome 38 (2010) no. 1, pp.  17-56. doi : 10.14708/ma.v38i1.258. http://geodesic.mathdoc.fr/articles/10.14708/ma.v38i1.258/

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