Delay and functional differential equations and their applications
著者
書誌事項
Delay and functional differential equations and their applications
(Academic Press rapid manuscript reproduction)
Academic Press, 1972
並立書誌 全1件
大学図書館所蔵 全28件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Sponsored by the U.S. Army Research Office, Durham, the National Science Foundation, and the University of Utah."
Includes bibliographies
内容説明・目次
内容説明
Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications. This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics, problems in physiology, and other areas of applications. Organized into two parts encompassing 25 chapters, this book begins with an overview of problems involving functional differential equations with terminal conditions in function spaces. This text then examines the numerical methods for functional differential equations. Other chapters consider the theory of radiative transfer, which give rise to several interesting functional partial differential equations. This book discusses as well the theory of embedding fields, which studies systems of nonlinear functional differential equations that can be derived from psychological postulates and interpreted as neural networks. The final chapter deals with the usefulness of the flip-flop circuit. This book is a valuable resource for mathematicians.
目次
Participants
Preface
Invited Papers
Control of Functional Differential Equations with Function Space Boundary Conditions
Numerical Methods for Functional Differential Equations
Some Harmless Delays
Pattern Learning by Functional-Differential Neural Networks with Arbitrary Path Weights
Differential Equations in Physiology and How to Find Them
Basic Frequency Periodic Motions in Noncompact Dynamical Processes
Asymptotic Behavior of Solutions of the Functional Differential Equation y'(x) = ay(?x) +by(x)
Oscillations of Higher-Order Retarded Differential Equations Generated by the Retarded Argument
Remarks on a Volterra Equation
Asymptotic Stability and Perturbations for Linear Volterra Integrodifferential Systems
The Infinite Time Quadratic Cost Problem for Certain Classes of Infinite Dimensional Control Systems
A Deterministic Model of the Spread of an Infection Between Two Populations
Contributed Papers
Inhomogeneous Functional and Operational Differential Equations
On Asymptotic Solutions of Nonlinear Differential Equations with Time Lag
Existence and Uniqueness Theorems for Differential Equations with Deviating Arguments of Mixed Type
Admissibility Theory and the Global Behavior of Solutions of Functional Equations
Periodic Solutions of Lienard Equations with Delay: Some Theoretical and Numerical Results
Oscillatory Solutions of x"(t) + a(t)f{x[q(t)]} = 0
An Optimization Problem for an nth Order Scalar Neutral Functional Differential Equation with Functional Side Conrlitions
A Comparison Theorem and Applications
Oscillations of Nonlinear Functional Differential Equations Generated by Retarded Actions
On the Solutions of a Nonlinear Volterra Equation
Functional Differential Equations in Continuum Mechanics
Optimal Control of Linear Systems with Time-Varying Lags
The Flip-Flop Circuit as a Neutral Equation
Subject Index
「Nielsen BookData」 より