Viability, Invariance and Applications.

Viability, Invariance and Applications.

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...

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Bibliographic Details
Main Author: Cârjă, Ovidiu
Other Authors: Necula, Mihai, Vrabie, I. I. (Ioan I.), 1951-
Format: eBook
Language:English
Published: Burlington : Elsevier, 2007.
Series:North-Holland Mathematics Studies, v. 207.
Subjects:
Differential equations.
Set theory.
Symmetry (Mathematics)
Differential equations
Set theory
Online Access:Click for online access
Table of 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.

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