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delay differential equations, arino, hbid [pdf]

Delay Differential Equations and Applications by O. Arino and M.L. Hbid and E. Ait Dads

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About this book :-
Delay Differential Equations and Applications written by O. Arino and M.L. Hbid and E. Ait Dads
Differential Equations with Mathematica is an appropriate reference for all users of Mathematica who encounter differential equations in their profession, in particular, for beginning users like students, instructors, engineers, business people, and other professionals using Mathematica to solve and visualize solutions to differential equations. Differential Equations with Mathematica is a valuable supplement for students and instructors at engineering schools that use Mathematica.
Taking advantage of Version 5 of Mathematica, Differential Equations with Mathematica, Third Edition, introduces the fundamental concepts of Mathematica to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists.

Book Detail :-
Title: Delay Differential Equations and Applications
Edition:
Author(s): O. Arino and M.L. Hbid and E. Ait Dads
Publisher:
Series:
Year: 2010
Pages: 570
Type: PDF
Language: English
ISBN:
Country: France
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About Author :-
The author O. Arino , University of Pau, France and M.L. Hbid , University Cadi Ayyad, Marrakech, Morocco and E. Ait Dads, University Cadi Ayyad, Marrakech, Morocco.


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Book Contents :-
Delay Differential Equations and Applications written by O. Arino and M.L. Hbid and E. Ait Dads cover the following topics.
1. History Of Delay Equations by J.K. Hale
Part-I General Results and Linear Theory of Delay Equations in Finite Dimensional Spaces
2. Some General Results and Remarks on Delay Differential Equations by E. Ait Dads
3. Autonomous Functional Differential Equations by Franz Kappel
Part II Hopf Bifurcation, Centre manifolds and Normal Forms for Delay Differential Equations
4. Variation of Constant Formula for Delay Differential Equations by M.L. Hbid and K. Ezzinbi
5. Introduction to Hopf Bifurcation Theory for Delay Differential Equations M.L. Hbid
6. An Algorithmic Scheme for Approximating Center Manifolds and Normal Forms for Functional Differential Equations by M. Ait Babram
7. Normal Forms and Bifurcations for Delay Differential Equations by T. Faria
Part III Functional Differential Equations in Infinite Dimensional Spaces
8. A Theory of Linear Delay Differential Equations in Infinite Di-mensional Spaces by O. Arino and E. S´anchez
9. The Basic Theory of Abstract Semilinear Functional Differential Equations with Non-Dense Domain by K. Ezzinbi and M. Adimy
Part IV More on Delay Differential Equations and Applications
10. Dynamics of Delay Differential Equations by H.O. Walther
11. Delay Differential Equations in Single Species Dynamics by S. Ruan
12. Well-Posedness, Regularity and Asymptotic Behaviour of Re- tarded Differential Equations by Extrapolation Theory by L. Maniar
13. Time Delays in Epidemic Models: Modeling and Numerical Considerations by J. Arino and P. van den Driessche


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