Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness
暫譯: 非線性分析的進展:透過非緊性度量的概念

  • 出版商: Springer
  • 出版日期: 2017-05-04
  • 售價: $4,510
  • 貴賓價: 9.5$4,285
  • 語言: 英文
  • 頁數: 487
  • 裝訂: Hardcover
  • ISBN: 9811037213
  • ISBN-13: 9789811037214
  • 海外代購書籍(需單獨結帳)

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商品描述

This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book’s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus.

商品描述(中文翻譯)

本書全面探討非緊緻性度量的理論。它討論了非緊緻性度量理論的各種應用,特別是通過探討不動點理論的結果和方法。非緊緻性度量的概念對於從事非線性分析的數學社群非常有用。這兩種理論在與微分方程、積分方程、泛函積分方程和優化理論相關的研究中尤其有用。因此,本書的核心目標之一是收集並呈現這些方程可解性的充分條件。這些結果是在各種函數空間中建立的,並特別關注分數微積分。