MARC Record from marc_columbia

LEADER: 03230fam a2200361 a 4500
001 1666856
005 20220608205903.0
008 941101t19951995nyua b 001 0 eng
010 $a 94041858
020 $a0387944168 (New York : acid-free paper)
035 $a(OCoLC)31519328
035 $a(OCoLC)ocm31519328
035 $9AKT1552CU
035 $a(NNC)1666856
035 $a1666856
040 $aDLC$cDLC$dDLC$dOrLoB
050 00 $aQA1$b.A647 vol. 110$aQA371
082 00 $a510 s$a515/.35$220
245 00 $aDelay equations :$bfunctional-, complex-, and nonlinear analysis /$cOdo Diekmann [and others].
260 $aNew York :$bSpringer-Verlag,$c[1995], ©1995.
300 $axi, 534 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aApplied mathematical sciences ;$vv. 110
504 $aIncludes bibliographical references (p. [514]-529) and index.
505 0 $aI. Linear autonomous RFDE -- II. The shift semigroup -- III. Linear RFDE as bounded perturbations -- IV. Spectral theory -- V. Completeness or small solutions? -- VI. Inhomogeneous linear systems -- VII. Semiflows for nonlinear systems -- VIII. Behaviour near a hyperbolic equilibrium -- IX. The center manifold -- X. Hopf bifurcation -- XI. Characteristic equations -- XII. Time-dependent linear systems -- XIII. Floquet Theory -- XIV. Periodic orbits -- XV. The prototype equation for delayed negative feedback: periodic solutions -- XVI. On the global dynamics of nonlinear autonomous differential delay equations -- App. I Bounded variation, measure and integration -- App. II Introduction to the theory of strongly continuous semigroups of bounded linear operators and their adjoints -- App. III The operational calculus -- App. IV Smoothness of the substitution operator -- App. V Tangent vectors, Banach manifolds and transversality -- App. VI Fixed points of parameterized contractions.
505 8 $aApp. VII Linear age-dependent population growth: elaboration of some of the exercises -- App. VIII The Hopf bifurcation theorem.
520 $aThe aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple yet rich class of examples, that is, those described by delay differential equations. It is a textbook giving detailed proofs and many exercises and which is intended both for self-study and for courses at a graduate level. The book should also be suitable as a reference for basic results.
520 8 $aAs the subtitle indicates, the book is about concepts, ideas, results, and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. After studying this book, the reader should have a working knowledge of applied functional analysis and dynamical systems.
650 0 $aDelay differential equations.$0http://id.loc.gov/authorities/subjects/sh85037892
700 1 $aDiekmann, O.$0http://id.loc.gov/authorities/names/n86090420
830 0 $aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$vv. 110.$0http://id.loc.gov/authorities/names/n42002591
852 00 $bmat$hQA371$i.D45 1995g