本文主要利用非线性泛函分析的拓扑度方法来研究时间测度上几类动力方程的正解存在性。
This thesis mainly investigates the existence of positive solutions for some class of dynamic equations on time scales by using topological degree of nonlinear functional analysis.
本文讨论非线性随机离散系统状态估值问题的测度变换，推得系统的状态对于观测的条件分布律。
We obtain an explicit formulae for the conditional distribution laws of the state of the dynamical system with respect to the observed data.
结果表明，含有非线性电阻的动态电路的唯一稳态，可以用一个矩阵测度决定。
The results show that the unique steady state of the dynamic circuits with nonlinear resistors can be determined by the measures of some matrixes, which are easily constructed.
非线性检测包括构成散点图、计算散点图量化指标(PLO)以及复杂度(COM)、预测度(PRE)、李雅普·诺夫指数(LI)、相关维(cd)等参数。
The parameters derived from the non liner test were index of Poincare graphics (PLO), complexity (com), prediction (pre), index of Lyapounov (li), and correlation dimension (CD).
在第二部分，我们给出一个新的关于稀疏波的测度，而且给出了三阶非线性双曲守恒律关于这个测度的精确估计。
In the second part of Chapter 2 we give a new measure about the rarefaction waves, and a sharp decay estimate of the new measure is established for the cubic nonlinear system of conservation laws.
在第二部分，我们给出一个新的关于稀疏波的测度，而且给出了三阶非线性双曲守恒律关于这个测度的精确估计。
In the second part of Chapter 2 we give a new measure about the rarefaction waves, and a sharp decay estimate of the new measure is established for the cubic nonlinear system of conservation laws.
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