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The Resource Analysis and Control of AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
Analysis and Control of AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
Resource Information
The item Analysis and Control of AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Analysis and Control of AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume is devoted to some of the most biologically significant control problems governed by continuous agedependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous agestructured 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, HamiltonJacobi 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
 Language
 eng
 Extent
 1 online resource (ix, 201 pages).
 Contents

 1 Introduction
 2 Analysis of AgeDependent 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
 Isbn
 9789401594363
 Label
 Analysis and Control of AgeDependent Population Dynamics
 Title
 Analysis and Control of AgeDependent Population Dynamics
 Statement of responsibility
 by Sebastian Aniţa
 Language
 eng
 Summary
 This volume is devoted to some of the most biologically significant control problems governed by continuous agedependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous agestructured 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, HamiltonJacobi 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
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Aniţa, Sebastian
 Dewey number
 515.64
 Index
 no index present
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 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 AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
 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 AgeDependent 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
 10.1007/9789401594363
 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 AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource)
 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 AgeDependent 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
 10.1007/9789401594363
 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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Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AnalysisandControlofAgeDependentPopulation/Ag8N7bBvAoQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AnalysisandControlofAgeDependentPopulation/Ag8N7bBvAoQ/">Analysis and Control of AgeDependent Population Dynamics, by Sebastian Aniţa, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>