This book introduces the technique of dynamic programming and shows how it can be used to solve problems in the calculus of variations. It discusses the basic elements of elasticity theory and some variational formulations of the relevant boundary-v...Loe edasi...
This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other...Loe edasi...
(Ilmumisaeg: 30-Sep-2002, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812795557)
A self-contained discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. The work only requires a knowledge...Loe edasi...
This is a handbook of Gamma-convergence, which is a theoretical tool used to study problems in Applied Mathematics where varying parameters are present, with many applications that range from Mechanics to Computer Vision. The book is directed to App...Loe edasi...
(Ilmumisaeg: 18-Jan-2001, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812810717)
This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. It investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications...Loe edasi...
Contains part of the refereed proceedings from the international conference on Calculus of Variations and Related Topics held at the Technion-Israel Institute of Technology in 1998. Focusing on the variational aspects of optimal control, it reviews...Loe edasi...
The classical Taylors formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets...Loe edasi...
(Ilmumisaeg: 06-Jan-1995, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812831118)
This book contains exercises for courses in differential equations and calculus of variations. Designed for non-mathematics students and for scientists and engineers who need to refresh their knowledge, it contains more than 260 examples and about 1...Loe edasi...
Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence...Loe edasi...
