Differential Equations: An Introduction to Basic Concepts, Results and Applications

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I. I. Vrabie, \"Differential Equations: An Introduction to Basic Concepts, Results and Applications\"
World Scientific Publishing Company | ISBN / ASIN:9812388389 | 2004 | 420 pages | PDF | 20MB
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.


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