Differential Equations: An Introduction to Basic Concepts, Results and Applications
| By: | Ioan I Vrabie |
| Publisher: | World Scientific Publishing |
| Print ISBN: | 9789812388384 |
| eText ISBN: | 9789813106321 |
| Edition: | 0 |
| Format: | Page Fidelity |
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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.