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Kernel Determination Problems In Hyperbolic Integro Differential Equations
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Book Synopsis Kernel Determination Problems in Hyperbolic Integro-Differential Equations by : Durdimurod K. Durdiev
Download or read book Kernel Determination Problems in Hyperbolic Integro-Differential Equations written by Durdimurod K. Durdiev and published by Springer Nature. This book was released on 2023-06-18 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :
Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 2003-06 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Identification Problems of Wave Phenomena by : A. Lorenzi
Download or read book Identification Problems of Wave Phenomena written by A. Lorenzi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis Inverse Problems and Related Topics by : Gen Nakamura
Download or read book Inverse Problems and Related Topics written by Gen Nakamura and published by CRC Press. This book was released on 2000-02-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :
Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 2003-06 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Eesti Teaduste Akadeemia Toimetised by :
Download or read book Eesti Teaduste Akadeemia Toimetised written by and published by . This book was released on 2003 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of analysis and its application by :
Download or read book Journal of analysis and its application written by and published by . This book was released on 2002 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Volterra Equations and Inverse Problems by : A. L. Bughgeim
Download or read book Volterra Equations and Inverse Problems written by A. L. Bughgeim and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis Nonlinear Differential Equations and Dynamical Systems by : Feliz Manuel Minhós
Download or read book Nonlinear Differential Equations and Dynamical Systems written by Feliz Manuel Minhós and published by MDPI. This book was released on 2021-04-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
Book Synopsis Volterra Integral Equations by : Hermann Brunner
Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
Author :Giovambattista Amendola Publisher :Springer Science & Business Media ISBN 13 :1461416922 Total Pages :576 pages Book Rating :4.4/5 (614 download)
Book Synopsis Thermodynamics of Materials with Memory by : Giovambattista Amendola
Download or read book Thermodynamics of Materials with Memory written by Giovambattista Amendola and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.
Book Synopsis Systems with Persistent Memory by : Luciano Pandolfi
Download or read book Systems with Persistent Memory written by Luciano Pandolfi and published by Springer Nature. This book was released on 2021-10-27 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Differential Equations by : C. M. Dafermos
Download or read book Differential Equations written by C. M. Dafermos and published by CRC Press. This book was released on 2020-08-26 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner
Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Functional Analysis in Interdisciplinary Applications—II by : Allaberen Ashyralyev
Download or read book Functional Analysis in Interdisciplinary Applications—II written by Allaberen Ashyralyev and published by Springer Nature. This book was released on 2021-07-03 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium "Functional Analysis in Interdisciplinary Applications" organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6–9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results. This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.
Book Synopsis Invariant Imbedding and Inverse Problems by : James P. Corones
Download or read book Invariant Imbedding and Inverse Problems written by James P. Corones and published by SIAM. This book was released on 1992-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.
Book Synopsis Integral Transforms, Reproducing Kernels and Their Applications by : Saburou Saitoh
Download or read book Integral Transforms, Reproducing Kernels and Their Applications written by Saburou Saitoh and published by CRC Press. This book was released on 2020-11-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
