| 1. | Positive solution of neutral partial difference equations
中立型偏差分方程的正解 |
| 2. | Differential method for linear partial difference equation with constant coefficients
常系数线性偏差分方程的微分解法 |
| 3. | Oscillation of nonlinear partial difference equations with continuous variables
具有连续变量的非线性偏差分方程的振动性 |
| 4. | Using our results , the boundedness of some partial differential equations and some partial difference equations are studied
利用所得结果研究了某些偏微分方程及偏差分方程解的有界性。 |
| 5. | By means of the comparison theorem , and the oscillation of some non - linear partial difference equations is discussed and some concise conditions and authenticity are given
给出系统振动的比较定量，利用比较定理讨论了一类非线性偏差分方程的振动性，给出简单的判别条件及证明。 |
| 6. | Some oscillation criteria for a class of nonlinear partial difference equations with variable coefficients are obtained . some linearized oscillation theorems for these equations are established
摘要获得了具有变系数的时滞偏差分方程的振动性准则，建立了几个线性化振动性定理。 |
| 7. | Based on a duralumin flexible beam with piezoelectric films attached , distributed parameter modal described by partial difference equations is builded , and then turned into a set of two order systems with the method of modal analyse . state feedback control and independent modal control is investigated . and simulation of the closed - loop system with thest two methods is performed in matlab
并用模态分析的方法，将系统的偏微分方程模型转化成了模态模型；研究了状态反馈和独立模态方法；进一步完善了软件界面以及软件功能；在实际系统中，应用状态反馈算法，有效抑制了悬臂梁在受到外界瞬时脉冲扰动和激振引起的一阶、二阶模态振动。 |
| 8. | Hence this method can improve accuracy and efficiency of the calculation . c . based on these work upwards , an adaptively wavelet precise time - invariant integration method was proposed in this paper . in this method , an adaptive multilevel interpolation wavelet collocation method for partial difference equations ( pdes ) was conducted , in which the time complexity is less than oleg v ' s method , and then the adaptive precise integration method was combined with , so that in this method the adaptively discretes both in time domain and physical domain were realized
该方法将外推法引入求解结构动力方程的精细时程积分法中，从而使该方法在求解非线性动力方程中可以自适应选取时间步长；需要指出的是，由于考虑了矩阵指数精细算法和外推法算法在时间离散方法上的一致性，在外推过程中，计算工作量基本没有增加；因此，两种方法的结合有效提高了算法的效率和精度。 |
| 9. | The aim of this study is to develop a wavelet stochastic finite element method to be applied in solving partial difference equations . this work includes 5 sections as follows : a . the properties of quasi shannon wavelet was studied in this paper , and a wavelet collocation method for partial differential equations was conducted
该工作主要由以下五部分构成：第一、研究了拟shannon小波的性质，构造了求解偏微分方程的拟shannon小波配置法，同时将外推法引入小波配置法，进一步改善了该方法的计算效率和计算精度。 |
