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Topics in Functional Differential and Difference Equations

Edited by: Teresa Faria Universidade de Lisboa, Lisboa, Portugal
Pedro Freitas Instituto Superior Técnico, Lisboa, Portugal
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-2701-7
Product Code: FIC/29
378 pp
List Price: $144.00 MAA Member Price:$129.60
AMS Member Price: $115.20 Electronic ISBN: 978-1-4704-3053-5 Product Code: FIC/29.E 378 pp List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $216.00 MAA Member Price:$194.40
AMS Member Price: $172.80 Click above image for expanded view Topics in Functional Differential and Difference Equations Edited by: Teresa Faria Universidade de Lisboa, Lisboa, Portugal Pedro Freitas Instituto Superior Técnico, Lisboa, Portugal A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-2701-7 Product Code: FIC/29 378 pp  List Price:$144.00 MAA Member Price: $129.60 AMS Member Price:$115.20
 Electronic ISBN: 978-1-4704-3053-5 Product Code: FIC/29.E 378 pp
 List Price: $135.00 MAA Member Price:$121.50 AMS Member Price: $108.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$216.00
MAA Member Price: $194.40 AMS Member Price:$172.80
• Book Details

Fields Institute Communications
Volume: 292001
MSC: 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, state-dependent 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 reaction-diffusion 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 - State-dependent 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 - One-to-oneness 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 $x_{n+1}=\mbox {max}\left \{\frac {1}{x_{n}},\frac {A_{n}}{x_{n-1}}\right \}$ 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 - Non-linear feedback systems with memory: From 0-th 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
• Shin-ichi Nakagiri - Finite pole assignment of retarded dynamical systems in Hilbert spaces
• Sjoerd Verduyn Lunel - Inverse problems for nonself-adjoint evolutionary systems
• Hans-Otto 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
• Request Review Copy
Volume: 292001
MSC: 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, state-dependent 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 reaction-diffusion 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 - State-dependent 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 - One-to-oneness 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 $x_{n+1}=\mbox {max}\left \{\frac {1}{x_{n}},\frac {A_{n}}{x_{n-1}}\right \}$ 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 - Non-linear feedback systems with memory: From 0-th 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
• Shin-ichi Nakagiri - Finite pole assignment of retarded dynamical systems in Hilbert spaces
• Sjoerd Verduyn Lunel - Inverse problems for nonself-adjoint evolutionary systems
• Hans-Otto 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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