Delay Differential Equations and Applications
Springer-Verlag New York Inc.
978-1-4020-3645-3 (ISBN)
The aim was indeed to extend the basic set of knowledge, including ordinary di?erential equations and semilinearevolutionequations,suchasforexamplethedi?usion-reaction equations arising in morphogenesis or the Belouzov-Zhabotinsky ch- ical reaction, and the classic approach for the resolution of these eq- tions by perturbation, to equations having in addition terms involving past values of the solution.
HISTORY OF DELAY EQUATIONS.- HISTORY OF DELAY EQUATIONS.- GENERAL RESULTS AND LINEAR THEORY OF DELAY EQUATIONS IN FINITE DIMENSIONAL SPACES.- SOME GENERAL RESULTS AND REMARKS ON DELAY DIFFERENTIAL EQUATIONS.- LINEAR AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS.- HOPF BIFURCATION, CENTRE MANIFOLDS AND NORMAL FORMS FOR DELAY DIFFERENTIAL EQUATIONS.- VARIATION OF CONSTANT FORMULA FOR DELAY DIFFERENTIAL EQUATIONS.- TO HOPF BIFURCATION THEORY FOR DELAY DIFFERENTIAL EQUATIONS.- AN ALGORITHMIC SCHEME FOR APPROXIMATING CENTER MANIFOLDS AND NORMAL FORMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS.- NORMAL FORMS AND BIFURCATIONS FOR DELAY DIFFERENTIAL EQUATIONS.- FUNCTIONAL DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONAL SPACES.- A THEORY OF LINEAR DELAY DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONAL SPACES.- THE BASIC THEORY OF ABSTRACT SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSE DOMAIN.- MORE ON DELAY DIFFERENTIAL EQUATIONS AND APPLICATIONS.- DYNAMICS OF DELAY DIFFERENTIAL EQUATIONS.- DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS.- WELL-POSEDNESS, REGULARITY AND ASYMPTOTIC BEHAVIOUR OF RETARDED DIFFERENTIAL EQUATIONS BY EXTRAPOLATION THEORY.- TIME DELAYS IN EPIDEMIC MODELS.
Erscheint lt. Verlag | 25.9.2006 |
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Reihe/Serie | NATO Science Series II: Mathematics, Physics and Chemistry ; 205 |
Zusatzinfo | XXVI, 570 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Analysis | |
ISBN-10 | 1-4020-3645-0 / 1402036450 |
ISBN-13 | 978-1-4020-3645-3 / 9781402036453 |
Zustand | Neuware |
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