The Darboux Problem For Hyperbolic Functional Differential Equations And Inequalities In The Sense Of Carath Odory
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The Darboux Problem For Hyperbolic Functional Differential Equations And Inequalities In The Sense Of Carath Odory
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Author : Adrian Karpowicz
language : en
Publisher:
Release Date : 2010
The Darboux Problem For Hyperbolic Functional Differential Equations And Inequalities In The Sense Of Carath Odory written by Adrian Karpowicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Semi Linear Hyperbolic Problems In Bounded Domains
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Author : Alain Haraux
language : en
Publisher: CRC Press
Release Date : 1987-01-01
Semi Linear Hyperbolic Problems In Bounded Domains written by Alain Haraux and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.
Hyperbolic Functional Differential Inequalities And Applications
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Author : Z. Kamont
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hyperbolic Functional Differential Inequalities And Applications written by Z. Kamont and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a systematic and unified presentation of recent developments of the following problems: (i) functional differential inequalities generated by initial and mixed problems, (ii) existence theory of local and global solutions, (iii) functional integral equations generated by hyperbolic equations, (iv) numerical method of lines for hyperbolic problems, (v) difference methods for initial and initial-boundary value problems. Beside classical solutions, the following classes of weak solutions are treated: Ca ratheodory solutions for quasilinear equations, entropy solutions and viscosity so lutions for nonlinear problems and solutions in the Friedrichs sense for almost linear equations. The theory of difference and differential difference equations ge nerated by original problems is discussed and its applications to the constructions of numerical methods for functional differential problems are presented. The monograph is intended for different groups of scientists. Pure mathemati cians and graduate students will find an advanced theory of functional differential problems. Applied mathematicians and research engineers will find numerical al gorithms for many hyperbolic problems. The classical theory of partial differential inequalities has been described exten sively in the monographs [138, 140, 195, 225). As is well known, they found applica tions in differential problems. The basic examples of such questions are: estimates of solutions of partial equations, estimates of the domain of the existence of solu tions, criteria of uniqueness and estimates of the error of approximate solutions.
A Criterion For The Existence In A Strip Of Periodic Solutions Of Hyperbolic Partial Differential Equations
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Author : Lamberto Cesari
language : en
Publisher:
Release Date : 1964
A Criterion For The Existence In A Strip Of Periodic Solutions Of Hyperbolic Partial Differential Equations written by Lamberto Cesari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Mathematics categories.
Lectures On Cauchy S Problem In Linear Partial Differential Equations
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Author : Jacques Hadamard
language : en
Publisher:
Release Date : 1952
Lectures On Cauchy S Problem In Linear Partial Differential Equations written by Jacques Hadamard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Cauchy problem categories.
Multi Dimensional Hyperbolic Partial Differential Equations
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Author : Sylvie Benzoni-Gavage
language : en
Publisher: OUP Oxford
Release Date : 2006-11-23
Multi Dimensional Hyperbolic Partial Differential Equations written by Sylvie Benzoni-Gavage and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-23 with Mathematics categories.
Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids. With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.
Functional Equations Inequalities And Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-30
Functional Equations Inequalities And Applications written by Themistocles M. Rassias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-30 with Mathematics categories.
Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.
Functional Equations And Inequalities
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Author : B. Forte
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02
Functional Equations And Inequalities written by B. Forte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Mathematics categories.
J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.
Functional Equations And Inequalities In Several Variables
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Author : Stefan Czerwik
language : en
Publisher: World Scientific
Release Date : 2002
Functional Equations And Inequalities In Several Variables written by Stefan Czerwik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with ? for the first time in the mathematical literature. The book contains many fresh results concerning those problems.
Hyperbolic Problems Theory Numerics Applications
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Author : Sylvie Benzoni-Gavage
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12
Hyperbolic Problems Theory Numerics Applications written by Sylvie Benzoni-Gavage and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-12 with Mathematics categories.
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.