Existence And Uniqueness Theorems For Two Systems Of Non Linear Hyperbolic Differential Equations For Functions Of Two Independent Variables
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Existence And Uniqueness Theorems For Two Systems Of Nonlinear Hyperbolic Differential Equations For Functions Of Two Independent Variables
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Author : Siegfried Robert Göldner
language : en
Publisher:
Release Date : 1952
Existence And Uniqueness Theorems For Two Systems Of Nonlinear Hyperbolic Differential Equations For Functions Of Two Independent Variables written by Siegfried Robert Göldner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Existence theorems categories.
Existence And Uniqueness Theorems For Two Systems Of Non Linear Hyperbolic Differential Equations For Functions Of Two Independent Variables
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Author : Siegfried Robert Göldner
language : en
Publisher:
Release Date : 1949
Existence And Uniqueness Theorems For Two Systems Of Non Linear Hyperbolic Differential Equations For Functions Of Two Independent Variables written by Siegfried Robert Göldner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with categories.
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.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Encyclopaedia Of Mathematics written by Michiel Hazewinkel 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 ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1974
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.
On Uniqueness Theorems For Hyperbolic Differential Equations
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Author : John P. Shanahan
language : en
Publisher:
Release Date : 1959
On Uniqueness Theorems For Hyperbolic Differential Equations written by John P. Shanahan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations categories.
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenski_
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ 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 1983-12-31 with Science categories.
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
Non Linear Partial Differential Equations
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Author : E.E. Rosinger
language : en
Publisher: Elsevier
Release Date : 1990-11-22
Non Linear Partial Differential Equations written by E.E. Rosinger and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-22 with Mathematics categories.
A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of nonlinear partial differential equations. The three most important nonlinear phenomena observed so far both experimentally and numerically, and studied theoretically in connection with such equations have been the solitons, shock waves and turbulence or chaotical processes. In many ways, these phenomena have presented increasing difficulties in the mentioned order. In particular, the latter two phenomena necessarily lead to nonclassical or generalized solutions for nonlinear partial differential equations.
Advances In Applied Mechanics
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Author :
language : en
Publisher: Academic Press
Release Date : 1966-01-01
Advances In Applied Mechanics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966-01-01 with Technology & Engineering categories.
Advances in Applied Mechanics
Partial Differential Equations
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Author : A. V. Bitsadze
language : en
Publisher: World Scientific
Release Date : 1994
Partial Differential Equations written by A. V. Bitsadze and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This textbook in partial differential equations has been adopted as course material by the Moscow State University. The theoretical foundations of PDE are explained rigorously and clearly in such a way that their importance on applications is also taken into account. The presentation of materials has been arranged to be conducive to promoting students' interest in mathematical experiments.