دانلود کتاب Generalized Solutions of Functional Differential Equations
by Joseph Wiener
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عنوان فارسی: راه حل های تعمیم یافته معادلات دیفرانسیل تابعی |
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Contents
Preface
CHAPTER 1 Differential Equations with Piecewise Continuous Arguments
1. Linear Retarded EPCA with Constant Coefficients
2. Some Generalizations
3. EPCA of Advanced, Mixed, and Neutral Types
4. Asymptotic Behavior of Linear EPCA with Variable Coefficients
5. Stability as a Function of Delay
6. EPCA and Impulsive Equations
CHAPTER 2 Oscillatory and Periodic Solutions of Differential Equations with Piecewise Continuous Arguments
1. Differential Inequalities with Piecewise continuous Arguments
2. Oscillatory Properties of First-Order Linear Functional Differential Equations
3. Oscillatory and Periodic Solutions of Delay EPCA
4. Differential Equations Alternately of Retarded and Advanced Type
5. Oscillations in Systems of Differential Equations with Piecewise Continuous Arguments
6. A Piecewise Constant Analogue of a Famous FDE
CHAPTER 3 Partial Differential Equations with Piecewise Continuous Delay
1. Boundary-Value Problems for Partial Differential Equations with Piecewise Constant Delay
2. Initial-Value Problems for Partial Differential Equations with Piecewise Constant Delay
3. A Wave Equation with Discontinuous Time Delay
4. Bounded Solutions of Retarded Nonlinear Hyperbolic Equations
CHAPTER 4 Reducible Functional Differential Equations
1. Differential Equations with Involutions
2. Linear Equations
3. Bounded Solutions for Differential Equations with Reflection of the Argument
4. Equations with Rotation of the Argument
5. Boundary-Value Problems for Differential Equations with Relfection of the Argument
5.1. Preliminary Results. F
5.2. Main Results.
6. Partial Differential Equations with Involutions
CHAPTER 5 Analytic and Distributional Solutions of Functional Differential Equations
1. Holomorphic Solutions of Nonlinear Neutral Equations
2. Holomorphic Solutions of Nonlinear Advanced Equations
3. Analytic and Entire Solutions of Linear Systems
4. Finite-Order Distributional Solutions
5. Infinite-Order Distributional Solutions
6. An Integral Equation in the Space of Tempered Distributions
CHAPTER 6 Coexistence of Analytic and Distributional Solutions for Linear Differential Equations
1. Distributional, Rational, and Polynomial Solutions of Linear ODE
2. Application to Orthogonal Polynomials
3. Interesting Properties of Laguerre's Equation
4. The Hypergeometric and Other Equations
5. The Confluent Hypergeometric Equation
6. Infinite-Order Distributional Solutions Revisited
Open Problems
Bibliography
Author Index
Subject Index