The Cauchy Problem (Encyclopedia of Mathematics and its Applications, Series Number 18)

<p>This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.</p>

Reference

Kerber, Adalbert

Fattorini, Hector O.

Encyclopedias & Subject Guides

Cambridge University Press

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications, Series Number 62)

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

Computers & Technology

Computer Science

This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.

<p>This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.</p>

See the best price to sell, buy, or rent books by Fattorini, Hector O.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Fattorini, Hector O.

See the best price to sell, buy, or rent books by Fattorini, Hector O.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Cauchy Problem (Encyclopedia of Mathematics and its Applications, Series Number 18)

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications, Series Number 62)

The Cauchy Problem (Encyclopedia of Mathematics and its Applications, Series Number 18)

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications, Series Number 62)