本书是论述时滞差分方程振动性的专著。对一阶、二阶至高阶差分方程及差分方程组的振动性作了深入的研究。
样章试读
目录
Chapter 1 Preliminaries
1.0 Introduction
1.1 Notations
1.2 Definitions
1.3 Some Basic Theorems on Calculus of Finite Differences
1.4 Some Fixed Point Theorems
Chapter 2 First Order Delay Difference Equations
2.0 Introduction
2.1 Oscillation of First Order DDEs in Critical States
2.2 Oscillation of First Order DDEs With Variable Delays
2.3 Semicycles of the Oscillatory Solutions of First Order DDEs
2.4 Notes
Chapter 3 Second Order Delay Difference Equations
3.0 Introduction
3.1 Oscillation and Nonoscillation of Second Order Half-Linear DEs
3.2 Classiification of Nonoscillatory Solutions of Second Order Nonlinear NDDEs
3.3 Existence of Nonoscillatory Solutions of Second Order Nonlinear NDDEs
3.4 Notes
Chapter 4 Higher Order Delay Difference Equations
4.0 Introduction
4.1 Oscillation of Higher Order Linear DEs
4.2 Oscillation of Higher Order Linear NDDEs
4.3 Comparison Theorems for Oscillation of Higher Order Nonlinear NDDEs
4.4 Existence of Nonoscillatory Solutions of Higher Order Nonlinear NDDEs
4.5 Nonoscillatory Solution of Higher Order NDDEs With Forcing Terms
4.6 Classification of Nonoscillatory Solutions of Higher Order Nonlinear NDDEs
4.7 Notes
Chapter 5 Delay Difference Equations with ContinuousVariables
5.0 Introduction
5.1 The Distribution of Zeros of Linear DDEs With Continuous Variables
5.2 The Distribution of Zeros of Nonlinear DDEs With Continuous variables
5.3 Oscillation of Nonlinear NDEs With Continuous Variables
5.4 Notes
Chapter 6 Functional Equations
6.0 Introduction
6.1 Oscillation of Functional Equations With Continuous Variables
6.2 Oscillation of Nonlinear Functional Equations
6.3 Oscillation of Two-Variables Functional Equations
6.4 Notes
Chapter 7 Partial Difference Equations
7.0 Introduction
7.1 Oscillation of Linear PEDs
7.2 Comparison Theorems for Oscillation of PEDs
7.3 Existence of Bounded and Unbounded Nonoscillatory Solution of PEDs
7.4 Notes
References
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