Functional Differential Equations and Approximation of Fixed Points
Functional Differential Equations and Approximation of Fixed Points Proceedings, Bonn, July 1978 / [electronic resource] :
Dedicated to Heinz Unger on occasion of his 65. birthday
edited by Heinz-Otto Peitgen, Hans-Otto Walther.
- XVIII, 502 p. online resource.
- Lecture Notes in Mathematics, 730 0075-8434 ; .
- Lecture Notes in Mathematics, 730 .
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.
9783540351290
10.1007/BFb0064306 doi
Functional equations.
Mathematics.
Differential Equations.
Difference and Functional Equations.
Approximations and Expansions.
Ordinary Differential Equations.
QA431
515.625 515.75
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.
9783540351290
10.1007/BFb0064306 doi
Functional equations.
Mathematics.
Differential Equations.
Difference and Functional Equations.
Approximations and Expansions.
Ordinary Differential Equations.
QA431
515.625 515.75