Differential Equations: An Introduction To Basic Concepts, Results And Applications

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A01=Ioan I Vrabie
Author_Ioan I Vrabie
Calculus of Variations
Category=PBKJ
Differential Equations
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eq_isMigrated=2
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Invariance
Mathematical Models
Stability
Viability
Volterra Integral Equations

Product details

  • ISBN 9789814335621
  • Publication Date: 26 May 2011
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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