时滞微分方程与差分方程的振动理论——二阶与三阶

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。本书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。

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
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