Applied Theory of Functional Differential Equations als eBook von V. Kolmanovskii, A. Myshkis - nieuw boek

EAN (ISBN-13): 9789401580847
Verschijningsjaar: 2012
Uitgever: Springer Netherlands

Boek bevindt zich in het datenbestand sinds 2017-05-22T08:58:46+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-12-15T12:32:35+01:00 (Amsterdam)
ISBN/EAN: 9789401580847

ISBN - alternatieve schrijfwijzen:
978-94-015-8084-7
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: myshkis
Titel van het boek: applied differential equations

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Gegevens van de uitgever

Auteur: V. Kolmanovskii; A. Myshkis
Titel: Mathematics and its Applications; Applied Theory of Functional Differential Equations - Soviet Series
Uitgeverij: Springer; Springer Netherland
234 Bladzijden
Verschijningsjaar: 2012-12-06
Dordrecht; NL
Taal: Engels
149,79 € (DE)
154,00 € (AT)
177,00 CHF (CH)
Available
XVI, 234 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Mathematische Modellierung; Verstehen; Optimal control; Signal; equation; function; heat transfer; mathematical modeling; modeling; C; Mathematical Modeling and Industrial Mathematics; Systems Theory, Control; Mechanical Engineering; Mathematics and Statistics; Mathematik für Ingenieure; Kybernetik und Systemtheorie; Maschinenbau; BB

1. Models.- 1. Formal prerequisites.- 2. Aftereffect in mechanics.- 3. Hereditary phenomena in physics.- 4. Models with delays in technical problems.- 5. Aftereffect in biology.- 6. Aftereffect in medicine.- 7. Aftereffect in economy and other sciences.- 2. General theory.- 1. Introduction. Method of steps.- 2. Cauchy problem for RDEs.- 3. Cauchy problem for NDEs.- 4. Differential inclusions of retarded type (RDIs).- 5. General linear equations with aftereffect.- 6. Linear autonomous equations.- 7. Hopf bifurcation.- 8. Stocnastic retarded differential equations (SRDEs).- 3. Stability of retarded differential equations.- 1. Liapunov’s direct method.- 2. Linear autonomous equations.- 4. Stability of neutral type functional differential equations.- 1. Direct Liapunov’s method.- 2. Stability of linear autonomous equations.- 5. Stability of stochastic functional differential equations.- 1. Statement of the problem.- 2. Liapunov’s direct method.- 3. Boundedness of moments of solutions.- 6. Problems of control for deterministic FDEs.- 1. The dynamic programming method for deterministic equations. Bellman’s equation.- 2. Linear quadratic problems.- 3. Optimal control of bilinear hereditary systems.- 4. Control problems with phase constraint formula.- 5. Necessary optimality conditions.- 7. Optimal control of stochastic delay systems.- 1. Dynamic programming method for controlled stochastic hereditary processes.- 2. The linear quadratic problem.- 3. Approximate optimal control for systems with small parameters.- 4. Another approach to the problem of optimal synthesis control.- 8. State estimates of stochastic systems with delay.- 1. Filtering of Gaussian processes.- 2. Filtering of solutions of Itô equations with delay.