Hyperbolicity In Delay Equations
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Hyperbolicity In Delay Equations
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Author : Luis Barreira
language : en
Publisher: World Scientific
Release Date : 2021-03-12
Hyperbolicity In Delay Equations written by Luis Barreira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-12 with Mathematics categories.
This book provides a comprehensive introduction to the study of hyperbolicity in both linear and nonlinear delay equations. This includes a self-contained discussion of the foundations, main results and essential techniques, with emphasis on important parts of the theory that apply to a large class of delay equations. The central theme is always hyperbolicity and only topics that are directly related to it are included. Among these are robustness, admissibility, invariant manifolds, and spectra, which play important roles in life sciences, engineering and control theory, especially in delayed feedback mechanisms.The book is dedicated to researchers as well as graduate students specializing in differential equations and dynamical systems who wish to have an extensive and in-depth view of the hyperbolicity theory of delay equations. It can also be used as a basis for graduate courses on the stability and hyperbolicity of delay equations.
Semigroups For Delay Equations
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Author : Andras Batkai
language : en
Publisher: CRC Press
Release Date : 2005-09-05
Semigroups For Delay Equations written by Andras Batkai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-05 with Mathematics categories.
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied
Semigroup Theory And Applications
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Author : Clement
language : en
Publisher: CRC Press
Release Date : 1989-06-28
Semigroup Theory And Applications written by Clement and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-28 with Mathematics categories.
This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.
Hyperbolic Partial Differential Equations
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Author : Matthew Witten
language : en
Publisher: Elsevier
Release Date : 2014-05-23
Hyperbolic Partial Differential Equations written by Matthew Witten and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Mathematics categories.
Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research. This journal issue is interested in all types of articles in terms of review, mini-monograph, standard study, or short communication. Some studies presented in this journal include discretization of ideal fluid dynamics in the Eulerian representation; a Riemann problem in gas dynamics with bifurcation; periodic McKendrick equations for age-structured population growth; and logistic models of structured population growth. A number of book reviews are also included. This journal provides an interdisciplinary forum for the presentation of results not included in other particular journals, and thus will be beneficial to those interested in this field of study.
Theory Numerics And Applications Of Hyperbolic Problems Ii
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Author : Christian Klingenberg
language : en
Publisher: Springer
Release Date : 2018-06-27
Theory Numerics And Applications Of Hyperbolic Problems Ii written by Christian Klingenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-27 with Mathematics categories.
The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
Hyperbolic Periodic Solutions Heteroclinic Connections And Transversal Homoclinic Points In Autonomous Differential Delay Equations
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Author : Hans-Otto Walther
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Hyperbolic Periodic Solutions Heteroclinic Connections And Transversal Homoclinic Points In Autonomous Differential Delay Equations written by Hans-Otto Walther and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
Hyperbolic Problems Theory Numerics Applications
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Author : Heinrich Freistühler
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Hyperbolic Problems Theory Numerics Applications written by Heinrich Freistühler and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.
Extremum Seeking Through Delays And Pdes
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Author : Tiago Roux Oliveira
language : en
Publisher: SIAM
Release Date : 2022-12-05
Extremum Seeking Through Delays And Pdes written by Tiago Roux Oliveira and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-05 with Mathematics categories.
Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed, extensions from single-player optimization to noncooperative games, under delays and PDEs, are provided, the delays and PDEs are compensated in the control designs using the PDE backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory, and accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.
Recent Advances In Delay Differential And Difference Equations
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Author : Ferenc Hartung
language : en
Publisher: Springer
Release Date : 2014-08-22
Recent Advances In Delay Differential And Difference Equations written by Ferenc Hartung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.
Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.
Stability And Boundary Stabilization Of 1 D Hyperbolic Systems
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Author : Georges Bastin
language : en
Publisher: Birkhäuser
Release Date : 2016-07-26
Stability And Boundary Stabilization Of 1 D Hyperbolic Systems written by Georges Bastin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Mathematics categories.
This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in real live applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.