Topics in functional differential and difference equations

Author(s)

    • Faria, Teresa
    • Freitas, Pedro
    • Conference on Functional Differential and Difference Equations (1999 : Lisbon, Portugal)

Bibliographic Information

Topics in functional differential and difference equations

Teresa Faria, Pedro Freitas, editors

(Fields Institute communications, v. 29)

American Mathematical Society, c2001

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Tecnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. The articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.

Table of Contents

Monotonicity for some reaction-diffusion systems with delay and Dirichlet boundary conditions by S. Amraoui and S. Lalaoui Rhali Lyapunov's direct method and parametric resonance in linear systems with delay by O. V. Anashkin State-dependent delay differential equations in population dynamics: Modeling and analysis by O. Arino, E. Sanchez, and A. Fathallah Existence of periodic solution for a class of delay differential equations with impulses by M. Bachar and P. Magal Damped wave equations with delay by A. Batkai and S. Piazzera Global attractor for a class of partial functional differential equations with infinite delay by H. Bouzahir and K. Ezzinbi Differential equations with hereditary structure induced by a Volterra type property by R. Ceppitelli and L. Faina Asymptotic analysis of binomial recurrences by G. Derfel and F. Vogl Collision of global orbits in $C^\infty$ retarded functional differential equations by L. Fichmann and W. M. Oliva One-to-oneness and hyperbolicity by L. Fichmann and W. M. Oliva Modeling the spread of feline leukemia virus in heterogeneous habitats by W. E. Fitzgibbon, M. Langlais, and J. J. Morgan Bursting activity in a model of a neuron with recurrent synaptic feedback by F. Giannakopoulos, C. Hauptmann, and A. Zapp On $x_{n+1}=\mbox{max}\left\{\frac{1}{x_{n}},\frac{A_{n}}{x_{n-1}}\right\ \}$ with a period 3 parameter by E. A. Grove, C. Kent, G. Ladas, and M. A. Radin Stability in delay perturbed differential and difference equations by I. Gyori and F. Hartung Some problems in FDE by J. K. Hale Non-linear feedback systems with memory: From 0-th to higher order, discrete and continuous by U. an der Heiden Dynamics of inhibitory artificial neural networks with threshold nonlinearity by L. Huang and J. Wu Dimension of space of solutions for a linear nonautonomous infinite delay differential equation by W. Huang Unstable sets of periodic orbits and the global attractor for delayed feedback by T. Krisztin Uniform exponential stability of controlled quasilinear systems and functional differential equations by E. Litsyn, Y. V. Nepomnyashchikh, and A. Ponosov Finite pole assignment of retarded dynamical systems in Hilbert spaces by S.-i. Nakagiri Inverse problems for nonself-adjoint evolutionary systems by S. M. Verduyn Lunel Contracting return maps for some delay differential equations by H.-O. Walther Normal forms for neutral functional differential equations by M. Weedermann A functional differential equation and $3n+1$ dynamics by G. J. Wirsching.

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