Hardcover ISBN:  9780821827017 
Product Code:  FIC/29 
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Electronic ISBN:  9781470430535 
Product Code:  FIC/29.E 
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Book DetailsFields Institute CommunicationsVolume: 29; 2001; 378 ppMSC: Primary 34; 39; 35;
This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico 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, statedependent delay equations, Lyapunov methods, etc. 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.
ReadershipGraduate students and research and applied mathematicians interested in ordinary differential equations, difference and functional equations, and partial differential equations.

Table of Contents

Chapters

S. Amraoui and S. Lalaoui Rhali  Monotonicity for some reactiondiffusion systems with delay and Dirichlet boundary conditions

Oleg Anashkin  Lyapunov’s direct method and parametric resonance in linear systems with delay

Ovide Arino, Eva Sánchez and Ashraf Fathallah  Statedependent delay differential equations in population dynamics: Modeling and analysis

M. Bachar and P. Magal  Existence of periodic solution for a class of delay differential equations with impulses

András Bátkai and Susanna Piazzera  Damped wave equations with delay

Hassane Bouzahir and Khalil Ezzinbi  Global attractor for a class of partial functional differential equations with infinite delay

Rita Ceppitelli and Loris Faina  Differential equations with hereditary structure induced by a Volterra type property

G. Derfel and F. Vogl  Asymptotic analysis of binomial recurrences

L. Fichmann and W. Oliva  Collision of global orbits in $C^\infty $ retarded functional differential equations

L. Fichmann and W. Oliva  Onetooneness and hyperbolicity

W. Fitzgibbon, M. Langlais and J. Morgan  Modeling the spread of feline leukemia virus in heterogeneous habitats

Fotios Giannakopoulos, Christian Hauptmann and Andreas Zapp  Bursting activity in a model of a neuron with recurrent synaptic feedback

E. Grove, C. Kent, G. Ladas and M. Radin  On $x_{n+1}=\mbox {max}\left \{\frac {1}{x_{n}},\frac {A_{n}}{x_{n1}}\right \}$ with a period 3 parameter

István Győri and Ferenc Hartung  Stability in delay perturbed differential and difference equations

Jack Hale  Some problems in FDE

Uwe an der Heiden  Nonlinear feedback systems with memory: From 0th to higher order, discrete and continuous

Lihong Huang and Jianhong Wu  Dynamics of inhibitory artificial neural networks with threshold nonlinearity

Wenzhang Huang  Dimension of space of solutions for a linear nonautonomous infinite delay differential equation

Tibor Krisztin  Unstable sets of periodic orbits and the global attractor for delayed feedback

Elena Litsyn, Yurii Nepomnyashchikh and Arcady Ponosov  Uniform exponential stability of controlled quasilinear systems and functional differential equations

Shinichi Nakagiri  Finite pole assignment of retarded dynamical systems in Hilbert spaces

Sjoerd Verduyn Lunel  Inverse problems for nonselfadjoint evolutionary systems

HansOtto Walther  Contracting return maps for some delay differential equations

Marion Weedermann  Normal forms for neutral functional differential equations

Günther Wirsching  A functional differential equation and $3n+1$ dynamics


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 Table of Contents

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This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico 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, statedependent delay equations, Lyapunov methods, etc. 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.
Graduate students and research and applied mathematicians interested in ordinary differential equations, difference and functional equations, and partial differential equations.

Chapters

S. Amraoui and S. Lalaoui Rhali  Monotonicity for some reactiondiffusion systems with delay and Dirichlet boundary conditions

Oleg Anashkin  Lyapunov’s direct method and parametric resonance in linear systems with delay

Ovide Arino, Eva Sánchez and Ashraf Fathallah  Statedependent delay differential equations in population dynamics: Modeling and analysis

M. Bachar and P. Magal  Existence of periodic solution for a class of delay differential equations with impulses

András Bátkai and Susanna Piazzera  Damped wave equations with delay

Hassane Bouzahir and Khalil Ezzinbi  Global attractor for a class of partial functional differential equations with infinite delay

Rita Ceppitelli and Loris Faina  Differential equations with hereditary structure induced by a Volterra type property

G. Derfel and F. Vogl  Asymptotic analysis of binomial recurrences

L. Fichmann and W. Oliva  Collision of global orbits in $C^\infty $ retarded functional differential equations

L. Fichmann and W. Oliva  Onetooneness and hyperbolicity

W. Fitzgibbon, M. Langlais and J. Morgan  Modeling the spread of feline leukemia virus in heterogeneous habitats

Fotios Giannakopoulos, Christian Hauptmann and Andreas Zapp  Bursting activity in a model of a neuron with recurrent synaptic feedback

E. Grove, C. Kent, G. Ladas and M. Radin  On $x_{n+1}=\mbox {max}\left \{\frac {1}{x_{n}},\frac {A_{n}}{x_{n1}}\right \}$ with a period 3 parameter

István Győri and Ferenc Hartung  Stability in delay perturbed differential and difference equations

Jack Hale  Some problems in FDE

Uwe an der Heiden  Nonlinear feedback systems with memory: From 0th to higher order, discrete and continuous

Lihong Huang and Jianhong Wu  Dynamics of inhibitory artificial neural networks with threshold nonlinearity

Wenzhang Huang  Dimension of space of solutions for a linear nonautonomous infinite delay differential equation

Tibor Krisztin  Unstable sets of periodic orbits and the global attractor for delayed feedback

Elena Litsyn, Yurii Nepomnyashchikh and Arcady Ponosov  Uniform exponential stability of controlled quasilinear systems and functional differential equations

Shinichi Nakagiri  Finite pole assignment of retarded dynamical systems in Hilbert spaces

Sjoerd Verduyn Lunel  Inverse problems for nonselfadjoint evolutionary systems

HansOtto Walther  Contracting return maps for some delay differential equations

Marion Weedermann  Normal forms for neutral functional differential equations

Günther Wirsching  A functional differential equation and $3n+1$ dynamics