Functional Differential Equations and Approximation of Fixed Points

Numerical continuation methods and bifurcation....Pages 1-15
Periodic solutions of some autonomous differential equations with variable time delay....Pages 16-31
Global branching and multiplicity results for periodic solutions of functional differential equations....Pages 32-45
Existence of oscillating solutions for certain differential equations with delay....Pages 46-64
Approximation of delay systems with applications to control and identification....Pages 65-76
A homotopy method for locating all zeros of a system of polynomials....Pages 77-88
A view of complementary pivot theory (or solving equations with homotopies)....Pages 89-111
On numerical approximation of fixed points in C[0,1]....Pages 112-125
An application of simplicial algorithms to variational inequalities....Pages 126-135
Delay equations in biology....Pages 136-156
Retarded equations with infinite delays....Pages 157-193
A degree continuation theorem for a class of compactly perturbed differentiable Fredholm maps of index O....Pages 194-203
Chaotic behavior of multidimensional difference equations....Pages 204-227
Numerical solution of a generalized eigenvalue problem for even mappings....Pages 228-237
Positive solutions of functional differential equations....Pages 238-246
A restart algorithm without an artificial level for computing fixed points on unbounded regions....Pages 247-256
Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection....Pages 257-264
A nonlinear singularly perturbed volterra functional differential equation....Pages 265-282
Periodic solutions of nonlinear autonomous functional differential equations....Pages 283-325
The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems....Pages 326-409
On computational aspects of topological degree in ℝ n ....Pages 410-433
Perturbations in fixed point algorithms....Pages 434-441
Bifurcation of a stationary solution of a dynamical system into n-dimensional tori of quasiperiodic solutions....Pages 442-454
Periodic solutions of delay-differential equations....Pages 455-469
Hamiltonian triangulations of R n ....Pages 470-483
The beer barrel theorem....Pages 484-488
On instability, θ-limit sets and periodic solutions of nonlinear autonomous differential delay equations....Pages 489-503