The Resource Geometrical Methods in Variational Problems, by N.A. Bobylov, S.V. Emel'yanov, S. Korovin, (electronic resource)

Geometrical Methods in Variational Problems, by N.A. Bobylov, S.V. Emel'yanov, S. Korovin, (electronic resource)

Label
Geometrical Methods in Variational Problems
Title
Geometrical Methods in Variational Problems
Statement of responsibility
by N.A. Bobylov, S.V. Emel'yanov, S. Korovin
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Member of
http://library.link/vocab/creatorName
Bobylov, N.A
Dewey number
515.64
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • vcvjeLf8YIo
  • Ik93LP3XJZg
  • ct8P9K22ZqE
Image bit depth
0
Language note
English
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Emel'yanov, S.V.
  • Korovin, S.
Series statement
Mathematics and Its Applications
Series volume
485
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Global analysis
  • Differential equations, partial
  • Differential Equations
  • Calculus of Variations and Optimal Control; Optimization
  • Optimization
  • Global Analysis and Analysis on Manifolds
  • Partial Differential Equations
  • Ordinary Differential Equations
Label
Geometrical Methods in Variational Problems, by N.A. Bobylov, S.V. Emel'yanov, S. Korovin, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Preliminaries -- 1.1 Metric and Normed Spaces -- 1.2 Compactness -- 1.3 Linear Functional and Dual Spaces -- 1.4 Linear Operators -- 1.5 Nonlinear Operators and Functionals -- 1.6 Contraction Mapping Principle, Implicit Function Theorem, and Differential Equations on a Banach Space -- 2 Minimization of Nonlinear Functionals -- 2.1 Extrema of Smooth Functionals -- 2.2 Extremum of Lipschitzian and Convex Functionals -- 2.3 Weierstass Theorems -- 2.4 Monotonicity -- 2.5 Variational Principles -- 2.6 Additional Remarks -- 3 Homotopic Methods in Variational Problems -- 3.1 Deformations of Functionals on Hilbert Spaces -- 3.2 Deformations of Functionals on Banach Spaces -- 3.3 Global Deformations of Functionals -- 3.4 Deformation of Problems of the Calculus of Variations -- 3.5 Deformations of Lipschitzian Functions -- 3.6 Global Deformations of Lipschitzian Functions -- 3.7 Deformations of Mathematical Programming Problems -- 3.8 Deformations of Lipschitzian Functionals -- 3.9 Additional Remarks -- 4 Topological Characteristics of Extremals of Variational Problems -- 4.1 Smooth Manifolds and Differential Forms -- 4.2 Degree of Mapping -- 4.3 Rotation of Vector Fields in Finite-Dimensional Spaces -- 4.4 Vector Fields in Infinite-Dimensional Spaces -- 4.5 Computation of the Topological Index -- 4.6 Topological Index of Zero of an Isolated Minimum -- 4.7 Euler Characteristic and the Topological Index of an Isolated Critical Set -- 4.8 Topological Index of Extremals of Problems of the Calculus of Variations -- 4.9 Topological Index of Optimal Controls -- 4.10 Topological Characteristic s of Critical Points of Nonsmooth Functionals -- 4.11 Additional Remarks -- 5 Applications -- 5.1 Existence Theorems -- 5.2 Bounds of the Number of Solutions to Variational Problems -- 5.3 Applications of the Homotopic Method -- 5.4 Study of Degenerate Extremals -- 5.5 Morse Lemmas -- 5.6 Well-Posedness of Variational Problems. Ulam Problem -- 5.7 Gradient Procedures -- 5.8 Bifurcation of Extremals of Variational Problems -- 5.9 Eigenvalues of Potential Operators -- 5.10 Additional Remarks -- Bibliographical Comments -- References
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XVI, 543 p.)
File format
multiple file formats
Form of item
online
Isbn
9789401146296
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-94-011-4629-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000123189
  • (SSID)ssj0001296899
  • (PQKBManifestationID)11725857
  • (PQKBTitleCode)TC0001296899
  • (PQKBWorkID)11374780
  • (PQKB)11294643
  • (DE-He213)978-94-011-4629-6
  • (MiAaPQ)EBC3566635
  • (EXLCZ)993400000000123189
Label
Geometrical Methods in Variational Problems, by N.A. Bobylov, S.V. Emel'yanov, S. Korovin, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Preliminaries -- 1.1 Metric and Normed Spaces -- 1.2 Compactness -- 1.3 Linear Functional and Dual Spaces -- 1.4 Linear Operators -- 1.5 Nonlinear Operators and Functionals -- 1.6 Contraction Mapping Principle, Implicit Function Theorem, and Differential Equations on a Banach Space -- 2 Minimization of Nonlinear Functionals -- 2.1 Extrema of Smooth Functionals -- 2.2 Extremum of Lipschitzian and Convex Functionals -- 2.3 Weierstass Theorems -- 2.4 Monotonicity -- 2.5 Variational Principles -- 2.6 Additional Remarks -- 3 Homotopic Methods in Variational Problems -- 3.1 Deformations of Functionals on Hilbert Spaces -- 3.2 Deformations of Functionals on Banach Spaces -- 3.3 Global Deformations of Functionals -- 3.4 Deformation of Problems of the Calculus of Variations -- 3.5 Deformations of Lipschitzian Functions -- 3.6 Global Deformations of Lipschitzian Functions -- 3.7 Deformations of Mathematical Programming Problems -- 3.8 Deformations of Lipschitzian Functionals -- 3.9 Additional Remarks -- 4 Topological Characteristics of Extremals of Variational Problems -- 4.1 Smooth Manifolds and Differential Forms -- 4.2 Degree of Mapping -- 4.3 Rotation of Vector Fields in Finite-Dimensional Spaces -- 4.4 Vector Fields in Infinite-Dimensional Spaces -- 4.5 Computation of the Topological Index -- 4.6 Topological Index of Zero of an Isolated Minimum -- 4.7 Euler Characteristic and the Topological Index of an Isolated Critical Set -- 4.8 Topological Index of Extremals of Problems of the Calculus of Variations -- 4.9 Topological Index of Optimal Controls -- 4.10 Topological Characteristic s of Critical Points of Nonsmooth Functionals -- 4.11 Additional Remarks -- 5 Applications -- 5.1 Existence Theorems -- 5.2 Bounds of the Number of Solutions to Variational Problems -- 5.3 Applications of the Homotopic Method -- 5.4 Study of Degenerate Extremals -- 5.5 Morse Lemmas -- 5.6 Well-Posedness of Variational Problems. Ulam Problem -- 5.7 Gradient Procedures -- 5.8 Bifurcation of Extremals of Variational Problems -- 5.9 Eigenvalues of Potential Operators -- 5.10 Additional Remarks -- Bibliographical Comments -- References
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XVI, 543 p.)
File format
multiple file formats
Form of item
online
Isbn
9789401146296
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-94-011-4629-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000123189
  • (SSID)ssj0001296899
  • (PQKBManifestationID)11725857
  • (PQKBTitleCode)TC0001296899
  • (PQKBWorkID)11374780
  • (PQKB)11294643
  • (DE-He213)978-94-011-4629-6
  • (MiAaPQ)EBC3566635
  • (EXLCZ)993400000000123189

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...