书籍详情
时滞微分方程与差分方程的振动理论：二阶与三阶（英文）
作者：[波]萨米尔.萨克尔
出版社：哈尔滨工业大学出版社
出版时间：2021-10-01
ISBN：9787560396583
定价：¥98.00
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内容简介
时滞微分方程（DDE）是一个用于单个变量的函数的方程，通常称为时间。《时滞微分方程与差分方程的振动理论：二阶与三阶（英文版）》是一部英文版的数学专著，作者萨米尔·萨克尔教授，是曼苏尔大学和堪萨斯州大学的数学教授，并于2002年在波兰的亚当·米基维茨大学获得博士学位，其研究方向为泛函微分和微分方程的定性分析，以及它们在动力学方程振动中的应用，他单独发表及与他人合作发表论文150多篇。本著作分为六章，内容如下：第1章：二阶微分方程。第2章：二阶差分方程。第3章：二阶中立型微分方程。第4章：二阶中立型差分方程。第5章：三阶微分方程。第6章：三阶差分方程。
作者简介
萨米尔·萨克尔教授，是曼苏尔大学和堪萨斯州大学的数学教授，并于2002年在波兰的亚当·米基维茨大学获得博士学位，其研究方向为泛函微分和微分方程的定性分析，以及它们在动力学方程振动中的应用，他单独发表及与他人合作发表论文150多篇。
目录
1 Second Order Differential Equations
1.1 Introduction
1.2 Linear Equations
1.3 Forced Nonlinear Equations
1.4 Emden-Fowler Equations
1.5 Emden-Fowler Equations with Potentials
1.6 Half-Linear Equations
1.7 Quasi-linear Equations
1.8 Perturbed Equations
1.9 Equations with Damping
1.10 Quantum Differential Equations
1.11 A pair of Coupled Nonlinear Delay Equations
1.12 Applications on Partial Differential Equations
2 Second Order Difference Equations
2.1 Introduction
2.2 Linear Equations
2.3 Nonlinear Equations
2.4 Emden-Folwer Equations
2.5 Emden-Fowler Equations with Potentials
2.6 Half-linear Equations
2.7 Quasi-linear Equations
2.8 Perturbed Equations
2.9 Equations with Damping
2.10 Functional Equations
2.11 Applications of Hille's Type Condition on First Order Equations
2.12 Applications on Partial Difference Equations
3 Second Order Neutral Differential Equations
3.1 Introduction
3.2 Nonlinear Equations
3.3 Quasi-linear Equations
3.4 Superlinear Equations
3.5 Generalized Equations
3.6 Equations with "maxima"
4 Second Order Neutral Difference Equations
4.1 Introduction
4.2 Nonlinear Equations
4.3 Quasi-linear Equations
4.4 Applications on Partial Neutral Equations
5 Third-Order Differential Equations
5.1 Introduetion
5.2 Linear Equations
5.3 Nonfinear Equations
5.4 NonfinearDelayEquations
6 Third Order Difference Equations
6.1 Introduction
6.2 Linear Equation
6.3 Nonlinear Delay Equations
6.4 Neutral Equions
6.5 Classitication of Positive Solutions
编辑手记
1.1 Introduction
1.2 Linear Equations
1.3 Forced Nonlinear Equations
1.4 Emden-Fowler Equations
1.5 Emden-Fowler Equations with Potentials
1.6 Half-Linear Equations
1.7 Quasi-linear Equations
1.8 Perturbed Equations
1.9 Equations with Damping
1.10 Quantum Differential Equations
1.11 A pair of Coupled Nonlinear Delay Equations
1.12 Applications on Partial Differential Equations
2 Second Order Difference Equations
2.1 Introduction
2.2 Linear Equations
2.3 Nonlinear Equations
2.4 Emden-Folwer Equations
2.5 Emden-Fowler Equations with Potentials
2.6 Half-linear Equations
2.7 Quasi-linear Equations
2.8 Perturbed Equations
2.9 Equations with Damping
2.10 Functional Equations
2.11 Applications of Hille's Type Condition on First Order Equations
2.12 Applications on Partial Difference Equations
3 Second Order Neutral Differential Equations
3.1 Introduction
3.2 Nonlinear Equations
3.3 Quasi-linear Equations
3.4 Superlinear Equations
3.5 Generalized Equations
3.6 Equations with "maxima"
4 Second Order Neutral Difference Equations
4.1 Introduction
4.2 Nonlinear Equations
4.3 Quasi-linear Equations
4.4 Applications on Partial Neutral Equations
5 Third-Order Differential Equations
5.1 Introduetion
5.2 Linear Equations
5.3 Nonfinear Equations
5.4 NonfinearDelayEquations
6 Third Order Difference Equations
6.1 Introduction
6.2 Linear Equation
6.3 Nonlinear Delay Equations
6.4 Neutral Equions
6.5 Classitication of Positive Solutions
编辑手记
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