Title Delay differential equations and applications / edited by O. Arino, M.L. Hbid and E. Ait Dads

Published Dordrecht : Springer, ©2006

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Description 1 online resource (xxvi, 581 pages) : illustrations Series NATO science series. Series II, Mathematics, physics, and chemistry ; v. 205 NATO science series. Series II, Mathematics, physics, and chemistry ; v. 205. Contents 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 Summary This Edition includes detailed discussion and analysis on: General Results and Linear Theory of Delay Equations in Finite Dimensional Spaces; Hopf Bifurcation, Centre Manifolds and Normal Forms for Delay Differential Equations; Functional Differential Equations in Infinite Dimensional Spaces; and Delay Differential Equations and Applications Analysis Applications NATO Bibliography Includes bibliographical references and index Notes English Print version record In OhioLINK electronic book center SpringerLink Subject Delay differential equations -- Congresses MATHEMATICS -- Differential Equations -- Ordinary. Delay differential equations. Ecuaciones diferenciales -- Matemáticas Delay differential equations Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Arino, Ovide, 1947- Hbid, M. L Ait Dads, E ISBN 9781402036477 1402036477 1402036450 9781402036453 1402036469 9781402036460 6610744963 9786610744961

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