Advanced Topics in Difference Equations: 404 (Mathematics and Its Applications, 404) - Hardcover

Agarwal, R.P.; Wong, Patricia J.Y.

Hardcover

ISBN 10: 0792345215 ISBN 13: 9780792345213

Publisher: Springer, 1997

Synopsis

. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.

About this title

Review

`I think this remarkable monograph should be on the bookshelf of veryone having connection with mathematical analysis and its applications, concentrating on difference equations, numerical analysis, ordinary and partial differential equations.'
Acta Sci. Math., 64 (1998)

Synopsis

This monograph is a collection of the results the authors have obtained on difference equations and inequalities. In the last few years this discipline has gone through such a dramatic development that it is no longer feasible to present an exhaustive survey of all research. However, this volume offers a representative overview of the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 0792345215
• ISBN 13: 9780792345213
• Binding: Hardcover
• Number of pages: 519