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hamilton jacobi equations matches 5 work(s)

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This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884). In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behaviour of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied. In the dynamics discussed here we study the time behaviour of the fundamental integral characteristics of the physical system, i. e. the Jacobi function (moment of inertia) and energy (potential, kinetic and total), which are functions of mass density distribution, and the structure of a system. This approach satisfies the requirements of an external observer. It is designed to solve the problem of global dynamics and the evolution of natural systems in which the motion of the system's individual elements written in space co-ordinates and velocities is of no interest. It is important to note that an integral approach is made to internal and external interactions of a system which results in radiation and absorption of energy. This effect constitutes the basic physical content of global dynamics and the evolution of natural systems.

Hardcover:

9789027724182 | D Reidel Pub Co, March 1, 1987, cover price $379.00 |

*About this edition:*This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884).Paperback:

9789401086295 | Springer Verlag, September 27, 2011, cover price $379.00

Product Description: This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids)...read more

Hardcover:

9780387970660 | Springer Verlag, March 1, 1990, cover price $99.00 |

*About this edition:*This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media.Paperback:

9781461279501 | Springer Verlag, July 31, 2012, cover price $99.00 |

*About this edition:*This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media.Hardcover:

9780387758053 | 1 edition (Springer Verlag, January 11, 2008), cover price $179.00 |

*About this edition:*This monograph develops the Hamilton-Jacobi-Bellman theory via dynamic programming principle for a class of optimal control problems for stochastic hereditary differential equations (SHDEs) driven by a standard Brownian motion and with a bounded or an infinite but fading memory.Paperback:

9781441926050 | Springer Verlag, January 23, 2008, cover price $179.00 |

*About this edition:*This research monograph develops the Hamilton-Jacobi-Bellman theory, a very active research area.Hardcover:

9783764324308 | Birkhauser, August 30, 2006, cover price $179.00

Product Description: * A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control system...read more

Hardcover:

9780817640842 | Birkhauser, April 1, 2004, cover price $139.00

Paperback:

9780817643362, titled "Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control" | Birkhauser, September 1, 2004, cover price $84.95 |

*About this edition:** A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems
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