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On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument

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On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument

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Author : Zdzisław Kamont
language : en
Publisher:
Release Date : 1984

On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument written by Zdzisław Kamont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 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.

Global Classical Solutions For Quasilinear Hyperbolic Systems

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Author : Daqian Li
language : en
Publisher:
Release Date : 1994-09-06

Global Classical Solutions For Quasilinear Hyperbolic Systems written by Daqian Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-06 with Mathematics categories.

A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.