Hyperbolic functional differential inequalities and applications

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An exposition of hyperbolic functional differential inequalities and their applications. It aims to give a presentation of developments in the following problems: functional differential inequalities generated by initial and mixed problems; existence theory of local and global solutions; and, numerical methods of lines for hyperbolic problems.



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.

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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 30 juni 1999

Aantal pagina's: 306

Illustraties: Nee

Hoofdauteur: Z. Kamont

Tweede Auteur: Z. Kamont

Hoofduitgeverij: Springer

Editie: 1999 ed.

Extra groot lettertype: Nee

Product breedte: 170 mm

Product lengte: 244 mm

Studieboek: Ja

Verpakking breedte: 170 mm

Verpakking hoogte: 22 mm

Verpakking lengte: 244 mm

Verpakkingsgewicht: 1390 g

EAN: 9780792357919

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