抽象發展方程非局部問題的可解性及其套用(英)

抽象發展方程非局部問題的可解性及其套用(英)

《抽象發展方程非局部問題的可解性及其套用(英)》是2018年科學出版社出版的圖書,作者是陳鵬玉、李永祥、張旭萍。

基本介紹

  • 書名:抽象發展方程非局部問題的可解性及其套用(英)
  • 作者:陳鵬玉、李永祥、張旭萍
  • 出版社:科學出版社
  • 出版時間:2018年1月
  • ISBN:9787030570529
內容簡介,圖書目錄,

內容簡介

Nonlocal Cauchy problems of abstract evolution equations were motivated by physical problems. As a matter of fact, it is demonstrated that the abstract evo-lution equations with nonlocal initial conditions have a wide range of applications in real world applications and have better effects in applications than the classical Cauchy problems. For example, nonlocal problems are used to represent mathemat-ical models for evolution of various phenomena, such as nonlocal neural networks,nonlocal pharmacokinetics, nonlocal pollution and nonlocal combustion. This book gives a systematic study to the existence, uniqueness, regularity and global asymp-totic stability of solutions for several classes of nonlocal Cauchy problem of abstract evolution equations. All of these results are obtained by the authors in recent years.

圖書目錄

Chapter 1 Introduction and Background
Chapter 2 Basic Definitions and Theorems
Chapter 3 Strong Solutions for Nonlocal Evolution Equations
Chapter 4 Monotone Iterative Method Based on Lower and Upper Solutions
Chapter 5 Nonlocal Evolution Equation of Fractional Order
Chapter 6 Fractional Non-autonomous Evolution Equations
Chapter 7 Nonlocal Evolution Equation with Delay

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