Kernel Determination Problems In Hyperbolic Integro Differential Equations
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Kernel Determination Problems In Hyperbolic Integro Differential Equations
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Author : Durdimurod K. Durdiev
language : en
Publisher: Springer Nature
Release Date : 2023-06-18
Kernel Determination Problems In Hyperbolic Integro Differential Equations written by Durdimurod K. Durdiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-18 with Mathematics categories.
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
Proceedings Of The Estonian Academy Of Sciences Physics And Mathematics
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Author :
language : en
Publisher:
Release Date : 2003-06
Proceedings Of The Estonian Academy Of Sciences Physics And Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06 with categories.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-20
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.
Volterra Integral Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-20
Volterra Integral Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-20 with Mathematics categories.
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Inverse Problems For Integro Differential Operators
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Author : Yi-Hsuan Lin
language : en
Publisher: Springer Nature
Release Date :
Inverse Problems For Integro Differential Operators written by Yi-Hsuan Lin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Inverse Problems For Fractional Diffusion Equations
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Author : Durdimurod K. Durdiev
language : en
Publisher: Springer Nature
Release Date : 2025-06-15
Inverse Problems For Fractional Diffusion Equations written by Durdimurod K. Durdiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-15 with Mathematics categories.
This book discusses various inverse problems for the time-fractional diffusion equation, such as inverse coefficient problems (nonlinear problems) and inverse problems for determining the right-hand sides of equations and initial functions (linear problems). The study of inverse problems requires a comprehensive investigation of direct problems (such as representation formulas, a priori estimates and differential properties of the solution). This is particularly evident in nonlinear problems, where obtaining solvability theorems necessitates careful tracking of the exact dependence of the differential properties of the solution to the direct problem on the smoothness of the coefficients and other problem data. Therefore, a significant portion of the book is devoted to direct problems, such as initial problems (Cauchy problems) and initial-boundary value problems with various boundary conditions.
Eesti Teaduste Akadeemia Toimetised
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Author :
language : en
Publisher:
Release Date : 2003
Eesti Teaduste Akadeemia Toimetised written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematical physics categories.
Systems With Persistent Memory
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Author : Luciano Pandolfi
language : en
Publisher: Springer Nature
Release Date : 2021-10-27
Systems With Persistent Memory written by Luciano Pandolfi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-27 with Science categories.
This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology. The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability. The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.
Differential Equations
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Author : C. M. Dafermos
language : en
Publisher: CRC Press
Release Date : 2020-08-26
Differential Equations written by C. M. Dafermos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.
This volume is an outcome of the EQUADIFF 87 conference in Greece. It addresses a wide spectrum of topics in the theory and applications of differential equations, ordinary, partial, and functional. The book is intended for mathematics and scientists.
Collocation Methods For Volterra Integral And Related Functional Differential Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-15
Collocation Methods For Volterra Integral And Related Functional Differential Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.
Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.