Описание: This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.
Автор: Bainov, Drumi , Simeonov, Pavel Название: Impulsive Differential Equations ISBN: 0367449846 ISBN-13(EAN): 9780367449841 Издательство: Taylor&Francis Рейтинг: Цена: 9492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a large number of concrete mathematical models.
Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems.
Автор: Alfred Gray; Michael Mezzino; Mark A. Pinsky Название: Introduction to Ordinary Differential Equations with Mathematica ISBN: 1461274699 ISBN-13(EAN): 9781461274698 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.
Описание: Part of the "CISM International Centre for Mechanical Sciences", this work covers a wide range of research topics in the field of dynamical systems and applications of non-linear analysis to ordinary and partial differential equations.
Автор: Cohen Harold, Gallup Daniel Название: Introduction To Differential Equations With Applications, An ISBN: 9813276657 ISBN-13(EAN): 9789813276659 Издательство: World Scientific Publishing Рейтинг: Цена: 24552.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is for students in a first course in ordinary differential equations. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. As such, readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level.
The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer. Students who intend to pursue a major in engineering, physical sciences, or mathematics will find this book useful.
Автор: Alfred Gray; Mike Mezzino; Mark Pinsky Название: Introduction to Ordinary Differential Equations with Mathematica® ISBN: 0387982329 ISBN-13(EAN): 9780387982328 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this companion volume to our text is to provide instructors (and eventu- ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE.
Описание: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself.
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