Topological Methods for Differential Equations and Inclusions
暫譯: 微分方程與包含的拓撲方法

Graef, John R., Henderson, Johnny, Ouahab, Abdelghani

Topological Methods for Differential Equations and Inclusions
  • 出版商: CRC
  • 出版日期: 2018-10-02
  • 售價: $6,510
  • 貴賓價: 9.5 折 $6,185
  • 語言: 英文
  • 頁數: 360
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1138332291
  • ISBN-13: 9781138332294
  • 相關分類: 工程數學 Engineering-mathematics

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商品描述

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

商品描述(中文翻譯)

《微分方程與包含的拓撲方法》涵蓋了在微分方程系統理論中涉及的拓撲方法的重要主題。控制系統與相應的微分包含之間的等價性是用來證明最優控制理論中存在性定理的核心思想。由於經濟、社會和生物系統的動態是多值的，微分包含在具有遲滯的宏觀系統中作為自然模型。

作者簡介

John R. Graef is professor of mathematics at the University of Tennessee at Chattanooga and previously was on the faculty at Mississippi State University.

Johnny Henderson is distinguished professor of mathematics at Baylor University. He also has held faculty positions at Auburn University and the Missouri University of Science and Technology. He is an Inaugural Fellow of the American Mathematical Society.

Abdelghani Ouahab is professor of Mathematics, Laboratory of Mathematics, Djilali-Liab\'es University Sidi Bel Abb\'es, Algeria

Each of the authors of this book has extensive research interests, including: boundary value problems for ordinary and functional differential equations and inclusions; difference equations; impulsive systems; fractional equations; dynamic equations on time scales; integral equations; boundary value problems; nonlinear oscillations, and applications to biological systems; functional differential equations and dynamic equations on time scales, along with extensions and generalizations involving multivalued analysis, and as well as in fractional analogues of those topics.

作者簡介(中文翻譯)

約翰·R·格雷夫（John R. Graef）是田納西州查塔努加大學的數學教授，之前曾在密西西比州立大學任教。 約翰尼·亨德森（Johnny Henderson）是貝勒大學的傑出數學教授。他還曾在奧本大學和密蘇里科技大學擔任教職。他是美國數學學會的首屆研究員。 阿卜杜勒·哈尼·瓦哈布（Abdelghani Ouahab）是阿爾及利亞西迪·貝爾·阿貝斯的吉拉利·利亞比斯大學數學系教授。

本書的每位作者都有廣泛的研究興趣，包括：常微分方程和泛函微分方程及包含的邊值問題；差分方程；衝擊系統；分數方程；時間尺度上的動態方程；積分方程；邊值問題；非線性振盪及其在生物系統中的應用；泛函微分方程和時間尺度上的動態方程，以及涉及多值分析的擴展和概括，還有這些主題的分數類比。

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