Functional Differential Equations and Approximation of Fixed Points

Proceedings, Bonn, July 1978

516 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Differentialrechnung und -gleichungen
• ISBN: 9783540095187
• Sprache: Englisch
• Erscheinungsdatum: 01.08.1979
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: H. -O. Walther, H. -O. Peitgen