Nonlinear Analysis and Control of Physical Processes and Fields:
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spa...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Schriftenreihe: | Data and Knowledge in a Changing Word
|
| Schlagworte: | |
| Online-Zugang: | UBT01 Volltext |
| Zusammenfassung: | Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations |
| Beschreibung: | 1 Online-Ressource (XIV, 508 p) |
| ISBN: | 9783642187704 |
| DOI: | 10.1007/978-3-642-18770-4 |
Internformat
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| author | Zgurovsky, M. Z. Mel’nik, V. S. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-18770-4 |
| format | Electronic eBook |
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| id | DE-604.BV045152040 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:07Z |
| institution | BVB |
| isbn | 9783642187704 |
| language | English |
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| series2 | Data and Knowledge in a Changing Word |
| spelling | Zgurovsky, M. Z. Verfasser aut Nonlinear Analysis and Control of Physical Processes and Fields by M. Z. Zgurovsky, V. S. Mel’nik Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (XIV, 508 p) txt rdacontent c rdamedia cr rdacarrier Data and Knowledge in a Changing Word Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations Mathematics Analysis Physical Chemistry Math. Applications in Chemistry Numerical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Atoms and Molecules in Strong Fields, Laser Matter Interaction Chemometrics Physical chemistry Mathematical analysis Analysis (Mathematics) Physics Atoms Matter Statistical physics Dynamical systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Stoffübergang (DE-588)4183410-0 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Extremalproblem (DE-588)4439315-5 gnd rswk-swf Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd rswk-swf Wärmeübergang (DE-588)4188877-7 gnd rswk-swf Nichtlineare Operatorgleichung (DE-588)4171756-9 s Extremalproblem (DE-588)4439315-5 s Nichtlineare Funktionalanalysis (DE-588)4042093-0 s 1\p DE-604 Wärmeübergang (DE-588)4188877-7 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Stoffübergang (DE-588)4183410-0 s 3\p DE-604 Nichtlineare Kontrolltheorie (DE-588)4475218-0 s Unendlichdimensionales System (DE-588)4207956-1 s 4\p DE-604 Mel’nik, V. S. aut Erscheint auch als Druck-Ausgabe 9783642622854 https://doi.org/10.1007/978-3-642-18770-4 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zgurovsky, M. Z. Mel’nik, V. S. Nonlinear Analysis and Control of Physical Processes and Fields Mathematics Analysis Physical Chemistry Math. Applications in Chemistry Numerical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Atoms and Molecules in Strong Fields, Laser Matter Interaction Chemometrics Physical chemistry Mathematical analysis Analysis (Mathematics) Physics Atoms Matter Statistical physics Dynamical systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Stoffübergang (DE-588)4183410-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Extremalproblem (DE-588)4439315-5 gnd Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd Wärmeübergang (DE-588)4188877-7 gnd |
| subject_GND | (DE-588)4475218-0 (DE-588)4183410-0 (DE-588)4207956-1 (DE-588)4439315-5 (DE-588)4042093-0 (DE-588)4114528-8 (DE-588)4171756-9 (DE-588)4188877-7 |
| title | Nonlinear Analysis and Control of Physical Processes and Fields |
| title_auth | Nonlinear Analysis and Control of Physical Processes and Fields |
| title_exact_search | Nonlinear Analysis and Control of Physical Processes and Fields |
| title_full | Nonlinear Analysis and Control of Physical Processes and Fields by M. Z. Zgurovsky, V. S. Mel’nik |
| title_fullStr | Nonlinear Analysis and Control of Physical Processes and Fields by M. Z. Zgurovsky, V. S. Mel’nik |
| title_full_unstemmed | Nonlinear Analysis and Control of Physical Processes and Fields by M. Z. Zgurovsky, V. S. Mel’nik |
| title_short | Nonlinear Analysis and Control of Physical Processes and Fields |
| title_sort | nonlinear analysis and control of physical processes and fields |
| topic | Mathematics Analysis Physical Chemistry Math. Applications in Chemistry Numerical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Atoms and Molecules in Strong Fields, Laser Matter Interaction Chemometrics Physical chemistry Mathematical analysis Analysis (Mathematics) Physics Atoms Matter Statistical physics Dynamical systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Stoffübergang (DE-588)4183410-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Extremalproblem (DE-588)4439315-5 gnd Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd Wärmeübergang (DE-588)4188877-7 gnd |
| topic_facet | Mathematics Analysis Physical Chemistry Math. Applications in Chemistry Numerical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Atoms and Molecules in Strong Fields, Laser Matter Interaction Chemometrics Physical chemistry Mathematical analysis Analysis (Mathematics) Physics Atoms Matter Statistical physics Dynamical systems Nichtlineare Kontrolltheorie Stoffübergang Unendlichdimensionales System Extremalproblem Nichtlineare Funktionalanalysis Mathematisches Modell Nichtlineare Operatorgleichung Wärmeübergang |
| url | https://doi.org/10.1007/978-3-642-18770-4 |
| work_keys_str_mv | AT zgurovskymz nonlinearanalysisandcontrolofphysicalprocessesandfields AT melnikvs nonlinearanalysisandcontrolofphysicalprocessesandfields |