1.

Record Nr.

UNISA996466633503316

Titolo

Functional differential equations and approximation of fixed points : proceedings, Bonn, July 1978 / / edited by Heinz-Otto Peitgen and Hans-Otto Walther

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , [1979]

©1979

ISBN

3-540-35129-9

Edizione

[1st ed. 1979.]

Descrizione fisica

1 online resource (XVIII, 502 p.)

Collana

Lecture Notes in Mathematics ; ; 730

Disciplina

515.35

Soggetti

Functional differential equations

Approximation theory

Fixed point theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Numerical continuation methods and bifurcation -- Periodic solutions of some autonomous differential equations with variable time delay -- Global branching and multiplicity results for periodic solutions of functional differential equations -- Existence of oscillating solutions for certain differential equations with delay -- Approximation of delay systems with applications to control and identification -- A homotopy method for locating all zeros of a system of polynomials -- A view of complementary pivot theory (or solving equations with homotopies) -- On numerical approximation of fixed points in C[0,1] -- An application of simplicial algorithms to variational inequalities -- Delay equations in biology -- Retarded equations with infinite delays -- A degree continuation theorem for a class of compactly perturbed differentiable Fredholm maps of index O -- Chaotic behavior of multidimensional difference equations -- Numerical solution of a generalized eigenvalue problem for even mappings -- Positive solutions of functional differential equations -- A restart algorithm without an artificial level for computing fixed points on unbounded regions -- Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection -- A nonlinear singularly perturbed volterra functional differential equation -- Periodic solutions of nonlinear



autonomous functional differential equations -- The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems -- On computational aspects of topological degree in ?n -- Perturbations in fixed point algorithms -- Bifurcation of a stationary solution of a dynamical system into n-dimensional tori of quasiperiodic solutions -- Periodic solutions of delay-differential equations -- Hamiltonian triangulations of Rn -- The beer barrel theorem -- On instability, ?-limit sets and periodic solutions of nonlinear autonomous differential delay equations.

Sommario/riassunto

Dedicated to Heinz Unger on occasion of his 65. birthday.