FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPROXIMATION OF FIXED POINTS. Profeecings, Bonn, 1978. [Lecture Notes in Math. #730]

Peitgen, Heniz-Otto & Walther, Hans-Otto, eds.

ISBN 10: 3540095187 / ISBN 13: 9783540095187

Editore: Berlin/Heidelberg: Springer, 1979

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Edges foxed, else G - VG, unmarked 6 1/2" x 9 1/2" Paperback. xv + 503 pp. Codice articolo 024695

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Titolo: FUNCTIONAL DIFFERENTIAL EQUATIONS AND ...

Casa editrice: Berlin/Heidelberg: Springer

Data di pubblicazione: 1979

Legatura: Soft cover

Condizione: Good

Condizione sovraccoperta: No Jacket

Descrizione articolo

Riassunto:

Dedicated to Heinz Unger on occasion of his 65. birthday

Contenuti:

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.