Differential Equations: An Introduction to Basic Concepts, Results and Applications (3rd Edition) - Hardcover

Ioan I Vrabie

Hardcover

ISBN 10: 9814749788 ISBN 13: 9789814749787

Publisher: World Scientific Publishing Company, 2016

Synopsis

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, and gradient systems.

In this new edition, some typos have been corrected and two new topics have been added: Delay differential equations and differential equations subjected to nonlocal initial conditions. The bibliography has also been updated and expanded.

About this title

Review

The 3rd edition is also augmented by two such new chapters: on Nonlocal problems and on Delay functional differential equations. Due to its structure and applications/exercises parts, the book is highly recommended for both undergraduate and graduate studies. Researchers and faculty will also find this book interesting and useful. --Zentralblatt MATH

From the Inside Flap

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, and gradient systems. In this new edition, some typos have been corrected and two new topics have been added: Delay differential equations and differential equations subjected to nonlocal initial conditions. The bibliography has also been updated and expanded.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2016
• Language: English
• ISBN 10: 9814749788
• ISBN 13: 9789814749787
• Binding: Hardcover
• Edition number: 3
• Number of pages: 528