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Alexander Tolstonogov:

Differential Inclusions in a Banach Space (Hardback) - gebonden uitgave, pocketboek

2000, ISBN: 0792366182

[EAN: 9780792366188], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. Preface to the English Edition The present monograph is a revised and enlarged alternative o… Meer...

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Differential Inclusions in a Banach Space - gebonden uitgave, pocketboek

2000, ISBN: 0792366182

[EAN: 9780792366188], Neubuch, [PU: Springer Netherlands], ANALYSIS FUNKTIONALANALYSIS SYSTEMTHEORIE TOPOLOGIE - DIFFERENZIALTOPOLOGIE VARIATIONSRECHNUNG BANACHSPACE MATHEMATICA DIFFERENT… Meer...

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ISBN: 9780792366188

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Tolstonogov Alexander:
Differential Inclusions in a Banach Space - gebonden uitgave, pocketboek

2000, ISBN: 0792366182

[EAN: 9780792366188], Neubuch, [PU: Springer], Print on Demand pp. 324 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam, Books

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Tolstonogov, Alexander:
Differential Inclusions in a Banach Space - gebonden uitgave, pocketboek

2000, ISBN: 9780792366188

Hard cover, New., Text in English, Russian. Sewn binding. Cloth over boards. 302 p. Mathematics and Its Applications, 524., Dordrecht, [PU: Springer]

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Differential Inclusions in a Banach Space
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Titel:
ISBN:

9780792366188


This monograph is devoted to the development of a unified approach for studying differential inclusions in a Banach space with non-convex right-hand side, a new branch of the classical theory of ordinary differential equations. Differential inclusions are now a mature field of mathematical activity, with their own methods, techniques, and applications, which range from economics to physics and biology. The current approach relies on ideas and methods from modern functional analysis, general topology, the theory of multifunctions, and continuous selectors. Audience: This volume will be of interest to researchers and postgraduate student whose work involves differential equations, functional analysis, topology, and the theory of set-valued functions.

Gedetalleerde informatie over het boek. - Differential Inclusions in a Banach Space


EAN (ISBN-13): 9780792366188
ISBN (ISBN-10): 0792366182
Gebonden uitgave
pocket book
Verschijningsjaar: 2000
Uitgever: Springer Netherlands
324 Bladzijden
Gewicht: 0,643 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-07-20T03:30:55+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-04-02T22:20:26+02:00 (Amsterdam)
ISBN/EAN: 9780792366188

ISBN - alternatieve schrijfwijzen:
0-7923-6618-2, 978-0-7923-6618-8
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: alexander, tolstonogov
Titel van het boek: differential inclusions banach space, space ace, the space here everywhere, space above and beyond, 524

Gegevens van de uitgever

Auteur: Alexander Tolstonogov
Titel: Mathematics and Its Applications; Differential Inclusions in a Banach Space
Uitgeverij: Springer; Springer Netherland
302 Bladzijden
Verschijningsjaar: 2000-10-31
Dordrecht; NL
Taal: Engels
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XV, 302 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Banach space; Mathematica; differential equation; differential inclusions; functional analysis; ordinary differential equation; topology; ordinary differential equations; Differential Equations; Functional Analysis; Systems Theory, Control; Calculus of Variations and Optimization; Topology; Funktionalanalysis und Abwandlungen; Kybernetik und Systemtheorie; Optimierung; Topologie; BC

1. Multi-Valued Differential Equation Generated by A Differential Inclusion.- 1. Background of the theory of measurable multi-valued mappings and differential inequalities.- 2. Existence of local solutions of a multi-valued differential equation with conditions of compactness type.- 3. Existence of local solutions of a multi-valued differential equation. Comparison theorems.- 4. Global solutions of a multi-valued differential equation.- 5. Existence theorems of solutions of the multi-valued operator equation.- 6. Notes and Remarks.- 2. Differential Inclusions. Existence of Solutions.- 1. Types of solutions of a differential inclusion.- 2. Semicontinuous multi-functions.- 3. Strongly measurable selectors of multi-functions.- 4. Continuous selectors of multi-functions with decomposable values.- 5. Continuous selectors of a multi-valued mappings generated by differential inclusions with non-convex right hand side.- 6. Multi-valued selectors of a multi-valued mapping generated by a differential inclusion.- 7. Existence of solutions of a differential inclusion with nonconvex right hand side continuous in x.- 8. Existence of the solution of a differential inclusion with right hand side semicontinuous in x.- 9. Notes and Remarks.- 3. Properties of Solutions.- 1. Auxiliary results.- 2. The density theorems.- 3. The co-density theorems.- 4. Compactness of the set of solutions.- 5. Dependence of the set of solutions on initial conditions and parameters.- 6. Connectedness of the set of solutions.- 7. Notes and remarks.- 4. Integral Funnel of the Differential Inclusion.- 1. Auxiliary lemmas.- 2. The equation of the integral funnel.- 3. Solutions of the equation of the integral funnel.- 4. Properties of solutions of the equation of the integral funnel.- 5. Properties of the integralfunnel.- 6. Extreme points of the set of solutions of a linear differential inclusion.- 7. Notes and Remarks.- 5. Inclusions with Non-Compact Right Hand Side.- 1. Continuous selectors of fixed point sets of multi-functions with decomposable values.- 2. Properties of the multi-valued Nemytskii operator.- 3. Continuous selectors of fixed point sets of the multi-valued Nemytskii operator.- 4. Existence and properties of solution sets of differential inclusion.- 5. Notes and Remarks.- Appendices.- A—.- 1. Non-convex problem of calculus of variations.- 2. Existence of optimal control without assumptions of convexity.- 3. Extension in continuity of multi-valued mappings.- 4. Equivalence of differential inclusions and control systems.- References.- Symbols.
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