| eBook ISBN: | 978-1-4704-0221-1 |
| Product Code: | MEMO/133/632.E |
| List Price: | $47.00 |
| MAA Member Price: | $42.30 |
| AMS Member Price: | $28.20 |
| eBook ISBN: | 978-1-4704-0221-1 |
| Product Code: | MEMO/133/632.E |
| List Price: | $47.00 |
| MAA Member Price: | $42.30 |
| AMS Member Price: | $28.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 133; 1998; 81 ppMSC: Primary 34; 35; 49
This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analyzed.
ReadershipGraduate students, research mathematicians, mathematical economists, and engineers working in nonlinear functional analysis, differential equations, control theory and optimizations.
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries: mathematical background and terminology
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3. Evolution inclusions
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4. Optimal control
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5. Applications
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This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analyzed.
Graduate students, research mathematicians, mathematical economists, and engineers working in nonlinear functional analysis, differential equations, control theory and optimizations.
-
Chapters
-
1. Introduction
-
2. Preliminaries: mathematical background and terminology
-
3. Evolution inclusions
-
4. Optimal control
-
5. Applications
