Conditional Symmetries and Solutions to a Class of Nonlinear Diffusion-Convection Equations

The present paper discusses a class of nonlinear diffusion-convection equations with source. The method that we use is the conditional symmetry method. It is shown that the equation admits certain conditional symmetries for coefficient functions of the equations. As a consequence, solutions to the resulting equations are obtained.     

基于BP神经网络对非线性函数拟合

不确定性、非线性常存在于控制领域系统中,难以控制和分析。本文基于BP神经网络对非线性函数拟合进行研究。通过仿真验证了该方法对非线性函数拟合具有良好效果和适用性。     

新型扩张状态观测器及其噪声抑制的特性分析（英文）

为了提升对快变干扰的估计性能,把输出估计误差的非线性项和切换项作为反馈设计一种新型非线性扩张状态观测器.在对干扰具有相同的估计性能下,新型非线性扩张状态观测器的增益相对较小,因而该新型非线性扩张状态观测器比传统扩张状态观测器拥有更好的噪声抑制性能。仿真结果表明新型扩张状态观测器对干扰的估计误差是传统方法的1/4。     

DYNAMICS OF A NONLINEAR NON-AUTONOMOUS n-PATCHES PREDATOR-PREY DISPERSION-DELAY MODEL

In this paper,a nonlinear nonautonomous predator-prey dispersion model with continuous distributed delay is studied,where all parameters are time-dependent.In this system consisting of n-patches the prey species can disperse among n-patches,but the predator species is confined to one patch and cannot disperse.It is proved that the system is uniformly persistent under any dispersion rate effect.Furthermore,some sufficient conditions are established for the existence of a unique almost periodic solution of the system.The example shows that the criteria in the paper are new,general and easily verifiable.     

Solvability for nonlinear elliptic equation with boundary perturbation

The solvability of nonlinear elliptic equation with boundary perturbation is consid- ered.The perturbed solution of original problem is obtained and the uniformly valid expansion of solution is proved.     

某类带参数四阶非线性微分算子的一个正则性定理

本文给出某类四阶线性与非线性微分算子关于参数的正则性定理．通过这个定理，能够描述某类飞行器在飞行过程中的双向稳定行为．