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ISBN: 9789048155903

This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness,… Meer...

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Analysis and Control of Age-Dependent Population Dynamics - pocketboek

2010, ISBN: 9048155908

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Analysis and Control of Age-Dependent Population Dynamics

This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some comparison results are also established. In the optimal control problems the emphasis is on first order necessary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem. The exact controllability for some models with diffusion and internal control is also studied. These subjects are treated using new concepts and techniques of modern optimal control theory, such as Clarke's generalized gradient, Ekeland's variational principle, Hamilton-Jacobi equations, and Carleman estimates. A background in advanced calculus and partial differential equations is required. Audience: This work will be of interest to students in mathematics, biology, and engineering, and researchers in applied mathematics, control theory, and biology.

Gedetalleerde informatie over het boek. - Analysis and Control of Age-Dependent Population Dynamics


EAN (ISBN-13): 9789048155903
ISBN (ISBN-10): 9048155908
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
212 Bladzijden
Gewicht: 0,328 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2012-09-13T22:55:58+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-09-28T22:25:48+02:00 (Amsterdam)
ISBN/EAN: 9789048155903

ISBN - alternatieve schrijfwijzen:
90-481-5590-8, 978-90-481-5590-3


Gegevens van de uitgever

Auteur: S. Anita
Titel: Mathematical Modelling: Theory and Applications; Analysis and Control of Age-Dependent Population Dynamics
Uitgeverij: Springer; Springer Netherland
201 Bladzijden
Verschijningsjaar: 2010-12-07
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,333 kg
Taal: Engels
117,69 € (DE)
120,99 € (AT)
130,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Sonstiges; Variationsrechnung; Verstehen; Optimal control; Termination; behavior; biology; calculus; differential equation; dynamics; mathematics; partial differential equation; population; population dynamics; partial differential equations; B; Calculus of Variations and Optimal Control; Optimization; Mathematical and Computational Biology; Mathematical Modeling and Industrial Mathematics; Partial Differential Equations; Integral Equations; Calculus of Variations and Optimization; Mathematical and Computational Biology; Mathematical Modeling and Industrial Mathematics; Differential Equations; Integral Equations; Mathematics and Statistics; Optimierung; Mathematik für Wissenschaftler; Mathematische Modellierung; Mathematik für Ingenieure; Differentialrechnung und -gleichungen; Integralrechnung und -gleichungen; BB

Preface. Notations. 1. Introduction. 2. Analysis of Age-Dependent Population Dynamics. 3. Optimal Control of Population Dynamics. 4. Analysis of Population Dynamics with Diffusion. 5. Control of Population Dynamics with Diffusion. Appendix 1: Elements of Nonlinear Analysis. Appendix 2: The Linear Heat Equation. References. Index.

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Laatste soortgelijke boek:
9789401594363 Analysis and Control of Age-Dependent Population Dynamics (S. Anita)


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