DIFFERENTIAL EQUATIONS: AN INTRODUCTION TO BASIC CONCEPTS, RESULTS AND APPLICATIONS (SECOND EDITION)

Vrabie, Ioan I

ISBN 10: 9814335622 / ISBN 13: 9789814335621

Editore: World Scientific Publishing Company, 2011

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Dati bibliografici

• Titolo: DIFFERENTIAL EQUATIONS: AN INTRODUCTION TO BASIC CONCEPTS, RESULTS AND APPLICATIONS (SECOND EDITION)
• Editore: World Scientific Publishing Company
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 9814335622
• ISBN 13: 9789814335621
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems.In this new edition we have corrected several small errors and added the following new topics: Volterra Integral Equations and Elements of Calculus of Variations. Some problems and exercises, referring to these two new topics are also included. The bibliography has been updated and expanded.

Recensione

"This text would be suitable for courses at the beginning graduate level." -- MAA Reviews

It is one of the basic books in the field of differential equations, which certainly, will be used by students and specialists in this field. The book is an excellent compound of abstract results and concrete examples, which should prove to be a very popular textbook. --Zentralblatt MATH

Reviews of the First Edition:

"... a useful resource with material for students, since it contains several topics typically not found in introductory textbooks." -- Choice

A nice contribution to existing literature on differential equations. --Zentralblatt MATH