Differential equations : an introduction to basic concepts, results and applications
著者
書誌事項
Differential equations : an introduction to basic concepts, results and applications
World Scientific, c2011
2nd ed
- : hbk
大学図書館所蔵 件 / 全5件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Entirely rewritten English version of the lecture notes of a course on Differential Equations ... written in 1999 in Romanian"--Pref., 1st ed
""Al. I. Cuza" University of Iasi and "O. Mayer" Mathematics Institute of the Romanian Academy, Iasi, Romania"
Includes bibliographical references and index
内容説明・目次
内容説明
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems.In this new edition we have corrected several small errors and added the following new topics: Volterra Integral Equations and Elements of Calculus of Variations. Some problems and exercises, referring to these two new topics are also included. The bibliography has been updated and expanded.
目次
- Generalities
- The Cauchy Problem
- Approximation Methods
- Systems of Linear Differential Equations
- Elements of Stability
- Prime Integrals
- Extensions and Generalizations
- Auxiliary Results.
「Nielsen BookData」 より
