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Hyperbolic Functional Differential Inequalities and Applications : Mathematics & Its Applications (Numbered Hardcover) - Zdzislaw Kamont

Hyperbolic Functional Differential Inequalities and Applications

Mathematics & Its Applications (Numbered Hardcover)

Hardcover

Published: 30th June 1999
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This monograph is a self-contained exposition of hyperbolic functional differential inequalities and their applications, on which topic the present author initiated research. It aims to give a systematic and unified presentation of recent developments in the following problems: functional differential inequalities generated by initial and mixed problems; existence theory of local and global solutions; functional integral equations generated by hyperbolic equations; numerical methods of lines for hyperbolic problems; and difference methods for initial and initial-boundary value problems. Besides classical solutions, some classes of weak solutions are also treated, such as CarathA(c)odory solutions for quasilinear equations, entropy solutions and viscosity solutions for nonlinear problems, and solutions in the Friedrichs sense for almost linear equations. The theory of difference and differential difference equations generated by original problems and its applications to the construction of numerical methods for functional differential problems is also discussed.

Audience: This volume will be valuable to pure mathematicians and graduate students whose work involves the theory of functional differential problems at an advanced level. Applied mathematicians and research engineers will find the numerical algorithms for many hyperbolic problems of interest.

Preface
Initial Problems on the Haar Pyramidp. 1
Existence of Solutions on the Haar Pyramidp. 41
Numerical Methods for Initial Problemsp. 69
Initial Problems on Unbounded Domainsp. 97
Mixed Problems for Nonlinear Equationsp. 139
Numerical Method of Linesp. 181
Generalized Solutionsp. 205
Functional Integral Equationsp. 247
Bibliographyp. 289
Indexp. 303
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357919
ISBN-10: 0792357914
Series: Mathematics & Its Applications (Numbered Hardcover)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 306
Published: 30th June 1999
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.63