Differential Equations: An Introduction to Basic Concepts, Results and Applications
May 2016 · World Scientific Publishing Company
Ebook
528
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About this ebook
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.
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 existenc...
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About the author
Ioan I Vrabie (âAl I Cuzaâ University of IaÅi, IaÅi, Romania & âO Mayerâ Mathematics Institute of the Romanian Academy, IaÅi, Romania)
Ioan I Vrabie (âAl I Cuzaâ University of IaÅi, IaÅi, Romania & âO Mayerâ Mathematics Institute of the Romanian Academy, IaÅi, Romania)
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