| Description |
1 online resource (357 pages) |
| Series |
North-Holland Mathematics Studies, v. 207 |
|
North-Holland Mathematics Studies, v. 207
|
| Contents |
Front Cover; Viability, Invariance and Applications; Copyright Page; Table of Contents; Preface; Chapter 1. Generalities; 1.1 Basic facts on Banach spaces; 1.2 The Bochner integral and Lp spaces; 1.3 Compactness theorems; 1.4 C0-semigroups; 1.5 Mild solutions; 1.6 Evolutions governed by m-dissipative operators; 1.7 Examples of m-dissipative operators; 1.8 Differential and integral inequalities; Chapter 2. Specific preliminary results; 2.1 Brezis-Browder Ordering Principle; 2.2 Projections; 2.3 Tangent sets; 2.4 Bouligand-Severi tangent vectors; 2.5 Other types of tangent vectors |
| Summary |
The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and |
| Notes |
Print version record |
| Subject |
Differential equations.
|
|
Set theory.
|
|
Symmetry (Mathematics)
|
|
Differential equations
|
|
Set theory
|
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Symmetry (Mathematics)
|
| Form |
Electronic book
|
| Author |
Necula, Mihai.
|
|
Vrabie, I. I. (Ioan I.), 1951-
|
| ISBN |
9780080521664 |
|
0080521665 |
|
