The Resource Analysis and Control of Age-Dependent Population Dynamics, by Sebastian Aniţa, (electronic resource)

Analysis and Control of Age-Dependent Population Dynamics, by Sebastian Aniţa, (electronic resource)

Label
Analysis and Control of Age-Dependent Population Dynamics
Title
Analysis and Control of Age-Dependent Population Dynamics
Statement of responsibility
by Sebastian Aniţa
Creator
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Aniţa, Sebastian
Dewey number
515.64
Index
no index present
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Mathematical Modelling: Theory and Applications,
Series volume
11
http://library.link/vocab/subjectName
  • Mathematics
  • Integral equations
  • Differential equations, Partial
  • Mathematical optimization
  • Differential equations, Partial
  • Integral equations
  • Mathematical optimization
  • Mathematics
Label
Analysis and Control of Age-Dependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-015-9436-3
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- A1.1 Convex functions and subdifferentials -- A1.2 Generalized gradients of locally Lipschitz functions -- A1.3 The Ekeland variational principle -- Appendix 2: The Linear Heat Equation -- References
Dimensions
unknown
Extent
1 online resource (ix, 201 pages).
File format
unknown
Form of item
online
Isbn
9789401594363
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-015-9436-3
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851373359
  • (OCoLC)ocn851373359
Label
Analysis and Control of Age-Dependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-015-9436-3
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- A1.1 Convex functions and subdifferentials -- A1.2 Generalized gradients of locally Lipschitz functions -- A1.3 The Ekeland variational principle -- Appendix 2: The Linear Heat Equation -- References
Dimensions
unknown
Extent
1 online resource (ix, 201 pages).
File format
unknown
Form of item
online
Isbn
9789401594363
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-015-9436-3
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851373359
  • (OCoLC)ocn851373359

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