9781461269205 - generalized solutions of first order pdes: the dynamical optimization perspective di subbotin, andrei i. i. (12 risultati)

Lingua: Inglese
Editore: Birkhäuser, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Editore: Springer, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Condizione: New. pp. 332.

Lingua: Inglese
Editore: Birkh?user, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Editore: Birkhäuser Boston, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hamilton-Jacobi equations and other types of partial differential equa tions of the first order are dealt with in many branches of mathematics, mechanics, and physics. These equations are usually nonlinear, and func tions vital for the considered…problems are not smooth enough to satisfy these equations in the classical sense. An example of such a situation can be provided by the value function of a differential game or an optimal control problem. It is known that at the points of differentiability this function satisfies the corresponding Hamilton-Jacobi-Isaacs-Bellman equation. On the other hand, it is well known that the value function is as a rule not everywhere differentiable and therefore is not a classical global solution. Thus in this case, as in many others where first-order PDE's are used, there arises necessity to introduce a notion of generalized solution and to develop theory and methods for constructing these solutions. In the 50s-70s, problems that involve nonsmooth solutions of first order PDE's were considered by Bakhvalov, Evans, Fleming, Gel'fand, Godunov, Hopf, Kuznetzov, Ladyzhenskaya, Lax, Oleinik, Rozhdestven ski1, Samarskii, Tikhonov, and other mathematicians. Among the inves tigations of this period we should mention the results of S.N. Kruzhkov, which were obtained for Hamilton-Jacobi equation with convex Hamilto nian. A review of the investigations of this period is beyond the limits of the present book. A sufficiently complete bibliography can be found in [58, 126, 128, 141].

Lingua: Inglese
Editore: Birkhäuser, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Condizione: New. Print on Demand pp. 332 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

Lingua: Inglese
Editore: Springer, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Da: Biblios, frankfurt am main, HESSE, GermaniaBiblios
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Condizione: New. PRINT ON DEMAND pp. 332.

Lingua: Inglese
Editore: Birkhäuser, Birkhäuser Jun 2013, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -I Generalized Characteristics of First-Order PDE's.- II Cauchy Problems for Hamilton-Jacobi Equations.- III Differential Games.- IV Boundary-Value Problems for First-Order PDE's.- A1 Justification of the Classical Method of Characteris…tics.- A2 Multifunctions.- A3 Semicontinuous Functions.- A4 Convex Functions.- A5 Contingent Tangent Cones, Directional Derivatives, Subdifferentials.- A6 On a Property of Subdifferentials.- A7 Differential Inclusions.- A8 Criteria for Weak Invariance.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 332 pp. Englisch.

Lingua: Inglese
Editore: Birkhäuser Boston Jun 2013, 2013
Serie: Systems & Control: Foundations & Applications, Libro 2 di 55. Libro 2 di 55 - Systems & Control: Foundations & Applications
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Hamilton-Jacobi equations and other types of partial differential equa tions of the first order are dealt with in many branches of mathematics, mechanics, and physics. These equations are usually nonlinear, and func tions vital for… the considered problems are not smooth enough to satisfy these equations in the classical sense. An example of such a situation can be provided by the value function of a differential game or an optimal control problem. It is known that at the points of differentiability this function satisfies the corresponding Hamilton-Jacobi-Isaacs-Bellman equation. On the other hand, it is well known that the value function is as a rule not everywhere differentiable and therefore is not a classical global solution. Thus in this case, as in many others where first-order PDE's are used, there arises necessity to introduce a notion of generalized solution and to develop theory and methods for constructing these solutions. In the 50s-70s, problems that involve nonsmooth solutions of first order PDE's were considered by Bakhvalov, Evans, Fleming, Gel'fand, Godunov, Hopf, Kuznetzov, Ladyzhenskaya, Lax, Oleinik, Rozhdestven ski1, Samarskii, Tikhonov, and other mathematicians. Among the inves tigations of this period we should mention the results of S.N. Kruzhkov, which were obtained for Hamilton-Jacobi equation with convex Hamilto nian. A review of the investigations of this period is beyond the limits of the present book. A sufficiently complete bibliography can be found in [58, 126, 128, 141]. 332 pp. Englisch.