On the Existence of Not Necessarily Unique Solutions of Semilinear Hyperbolic Systems in Two Independent Variables PDF Download
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Author: Thomas Joseph Langan
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 102
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Author: Thomas Joseph Langan
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 102
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Book Description
Author: Z. Kamont
Publisher: Springer Science & Business Media
ISBN: 9401146357
Category : Mathematics
Languages : en
Pages : 318
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Book Description
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.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 604
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Book Description
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 768
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 492
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 592
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 946
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Author:
Publisher:
ISBN:
Category : Mathematical reviews
Languages : en
Pages : 520
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Author: Phoolan Prasad
Publisher: New Age International
ISBN: 9780852267226
Category : Differential equations, Partial
Languages : en
Pages : 268
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Book Description
This book provides a basic introductory course in partial differential equations, in which theory and applications are interrelated and developed side by side. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. The authors feel that it is no longer necessary to follow the tradition of introducing the subject by deriving various partial differential equations of continuum mechanics and theoretical physics. Therefore, the subject has been introduced by mathematical analysis of the simplest, yet one of the most useful (from the point of view of applications), class of partial differential equations, namely the equations of first order, for which existence, uniqueness and stability of the solution of the relevant problem (Cauchy problem) is easy to discuss. Throughout the book, attempt has been made to introduce the important ideas from relatively simple cases, some times by referring to physical processes, and then extending them to more general systems.
Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 618
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Book Description
