Functional Differential Equations and Approximation of Fixed Points

Proceedings, Bonn, July 1978

H.-O. Peitgen, H.-O. Walther (Herausgeber)

Buch | Softcover
XVIII, 502 Seiten
1979 | 1979
Springer Berlin (Verlag)
978-3-540-09518-7 (ISBN)

Lese- und Medienproben

Functional Differential Equations and Approximation of Fixed Points -
53,45 inkl. MwSt
Dedicated to Heinz Unger on occasion of his 65. birthday

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-differentialequations.- Hamiltonian triangulations of Rn.- The beer barrel theorem.- On instability, ?-limit sets and periodic solutions of nonlinear autonomous differential delay equations.

Erscheint lt. Verlag 1.8.1979
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XVIII, 502 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 717 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Schlagworte Approximation • Approximation / Näherung (Mathematik) • difference equation • Equation • Finite • Fixpunkt (Math.) • Function • Funktional-Differentialgleichung • Ordinary differential equations • Theorem • Variable
ISBN-10 3-540-09518-7 / 3540095187
ISBN-13 978-3-540-09518-7 / 9783540095187
Zustand Neuware
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