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Nonlinear Analysis, Differential Equations and Control : NATO Science Series C: - F.H. Clarke

Nonlinear Analysis, Differential Equations and Control

NATO Science Series C:

By: F.H. Clarke (Editor), Gert Sabidussi (Adapted By), R.J. Stern (Editor)

Hardcover Published: 31st March 1999
ISBN: 9780792356653
Number Of Pages: 602

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Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Preface
Participants
Contributors
Viscosity solutions and analysis in LINFINITY
Multifunctional and functional analytic techniques in nonsmooth analysis
Relaxed optimal control problems and applications to shape optimization
Invariance, monotonicity, and applications
On the stabilization of some nonlinear control systems: results, tools, and applications
Smooth variational principles and non-smooth analysis in Banach spaces
Controlled Markov processes and mathematical finance
Variational methods in local and global non-smooth analysis
BSDEs, weak convergence and homogenization of semilinear PDEs
Stability and stabilization: discontinuities and the effect of disturbances
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792356653
ISBN-10: 0792356659
Series: NATO Science Series C:
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 602
Published: 31st March 1999
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 3.33
Weight (kg): 1.05

Earn 474 Qantas Points
on this Book