0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

Buy Now

Generalized Solutions of First Order PDEs - The Dynamical Optimization Perspective (Paperback, Softcover reprint of the original 1st ed. 1995) Loot Price: R2,884
Discovery Miles 28 840
Generalized Solutions of First Order PDEs - The Dynamical Optimization Perspective (Paperback, Softcover reprint of the...

Generalized Solutions of First Order PDEs - The Dynamical Optimization Perspective (Paperback, Softcover reprint of the original 1st ed. 1995)

Andrei I. Subbotin

Series: Systems & Control: Foundations & Applications

 (sign in to rate)
Loot Price R2,884 Discovery Miles 28 840 | Repayment Terms: R270 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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].

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Systems & Control: Foundations & Applications
Release date: June 2013
First published: 1995
Authors: Andrei I. Subbotin
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Paperback
Pages: 314
Edition: Softcover reprint of the original 1st ed. 1995
ISBN-13: 978-1-4612-6920-5
Categories: Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Optimization > General
Promotions
LSN: 1-4612-6920-2
Barcode: 9781461269205

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Equations with…
Warren Wright, Dennis Zill Paperback  (1)
R1,424 R1,320 Discovery Miles 13 200
Differential Equations with Linear…
Matthew R. Boelkins, Jack L. Goldberg, … Hardcover R3,047 Discovery Miles 30 470
Multigrid
Ulrich Trottenberg, Cornelius W. Oosterlee, … Hardcover R2,387 Discovery Miles 23 870
Calculus and Ordinary Differential…
David Pearson Paperback R845 Discovery Miles 8 450
Differential Equations with Boundary…
Dennis Zill Paperback R1,394 R1,294 Discovery Miles 12 940
Applied Partial Differential Equations…
Richard Haberman Paperback R2,548 Discovery Miles 25 480
Partial Differential Equations
Osamu Sano Hardcover R2,698 Discovery Miles 26 980
Dissipative Lattice Dynamical Systems
Xiaoying Han, Peter Kloeden Hardcover R3,581 Discovery Miles 35 810
Handbook of Differential Equations
Daniel Zwillinger Hardcover R3,767 R2,729 Discovery Miles 27 290
Qualitative Theory Of Odes: An…
Henryk Zoladek, Raul Murillo Hardcover R2,575 Discovery Miles 25 750
Hormander Operators
Marco Bramanti, Luca Brandolini Hardcover R5,141 Discovery Miles 51 410
Schaum's Outline of Differential…
Richard Bronson, Gabriel B Costa Paperback R502 Discovery Miles 5 020

See more

Partners