1) generalized Riccati technique
广义Riccati技巧
1.
By using the generalized Riccati technique,the averaging technique and differential inequalities,the oscillation for a class of higher-order nonlinear functional differential equations is discussed,and some new oscillation criteria are obtained.
利用广义Riccati技巧、积分平均与完全平方技巧以及微分不等式理论,讨论了一类高阶非线性泛函微分方程的振动性,并得到一些新的振动准则。
2.
By using the generalized Riccati technique,the averaging technique,the oscillation for a class neutral delay difference equations is discussed and new oscillation criteria are obtained.
利用广义Riccati技巧与完全平方技巧,讨论了一类中立型差分方程的振动性并得到一些新的振动准则。
3.
By the generalized Riccati technique,the averaging technique and differential inequalities,the oscillation for a class of high order nonlinear differential equations is discussed and new oscillation criteria are obtained.
利用广义Riccati技巧、积分平均与完全平方技巧以及微分不等式理论 ,讨论了一类高阶非线性微分方程的振动性并得到一些新的振动准则。
2) Riccati technique
Riccati技巧
1.
In this paper,we used the Riccati technique to discuss the third-order neutral dynamic equation with variable delay on time scales.
利用Riccati技巧讨论了时标上一类三阶非线性中立型变时滞动力方程,得到了该方程有振动解的一个充分条件,从而推广了一些已有的结论。
3) Matrix Riccati technique
矩阵Riccati技巧
4) generalized upper bounded technique
广义上界技巧
5) generalized Riccati equation
广义Riccati方程
1.
On Integrability Conditions of Generalized Riccati Equation——To discuss about it with Mr.Zhao Linlong;
关于广义Riccati方程的可积条件——与赵临龙先生商榷
2.
The generalized Riccati equation is introduced in a class of uncertain nonlinearly generalized interconnection systems with saturation input to design the decentralized and generalized robust stabilization controllers relevant to such systems.
采用广义Riccati方程,对一类具有输入饱和的不确定非线性广义交联系统,给出了一种分散广义鲁棒镇定控制器的设计。
3.
This paper considers one kind of generalized Riccati equation.
考虑一类广义Riccati方程,通过函数变换,在所给条件下,将这类方程等价地化为变量分离方程,从而得到了该方程可积的三个充分性判据,并给出方程通解的参数表达形式,扩大了Riccati方程的可解性范围。
6) generalized Riccati transformation
广义Riccati变换
1.
Oscillatory properties for solutions of a class of nonlinear hyperbolic partial functional differential equation with several delays were studied,and the new sufficient conditions for oscillation of these equations were obtained under the first boundary value condition by using the method of differential inequalities and the generalized Riccati transformation.
研究一类非线性时滞双曲型偏泛函微分方程解的振动性,利用微分不等式方法和广义Riccati变换,获得了该类方程在第一类边值条件下振动的新的充分条件,所得结果通过实例加以阐明。
2.
By using Green theorem and the generalized Riccati transformation,some sufficient criteria for oscillation of all solutions of such equations are obtained under two different boundary value conditions.
考虑一类非线性中立双曲型时滞偏泛函微分方程的振动性,利用Green定理和广义Riccati变换获得了这类方程在两类不同边值条件下所有解振动的若干充分判据。
3.
In the paper,we investigated a class of second order neutral delay differential equations with nonlinear second order part,and by using generalized Riccati transformation obtained sufficient conditions for the oscillations of them.
研究一类二阶部分为非线性的二阶中立型时滞微分方程,利用广义Riccati变换获得了该类方程解振动的充分条件。
补充资料：Соболев广义导数
Соболев广义导数
Sobolev generalized derivative
【补注】在西方文献中，O众泪玲B广义导数称为弱导数(，祀ak deri珑币ve)或分布导数(dis川h川0刊目山幻W币记).。6o二。广义导数【S诵川eVg留司加团山滋.d视;Co-60二皿0606川e一。朋”Po“3即及”a“」 局部可积函数的局部可积‘广义导数(见广义函数(罗ne阁讼沮丘mctlon)). 确切地说，假设Q是n维空间R”的开集，F和.厂都是Q上局部可积函数，那么f是F在Q上羊于x，的。分叨e”广冬停导攀记为 斋(·，一f‘·，，·〔“，，一’，‘’，”，是指对O上所有具紧支集的无限次可微函数价，等式 fF(二)李竺d二=一ff(二、耐，、d二 J OX，夕- 日-一]O成立.C改沁朋B广义导数在O上仅对几乎处处的戈有定义. 一个等价的定义如下.假设Q上局部可积函数F能在某个陀维零测度集上改变它的值成为这样一个函数，使后者对几乎所有(依”一1维测度)的点(x，，·，x，一;，毛十，，“‘，x。)关于x，是一元局部绝对连续的于是F对几乎所有的x〔。，存在关于xj的通常偏导数.如果后者局部可积，则称它为O石如cB广义导数. 第三种等价的定义是:给定两个函数F与f，若在。上存在连续可微函数列遥凡}，使对其闭包含于Q的任意区域田都有 J!r*(x)一F(x)‘dx一0， rl刁F‘(x飞_、} )}二成一一了“’}“x一“，“一的，则f就是F在Q上的O力期eB广义导数. F在Q上的高阶广义导数(若存在) a 2 F a3F 口x。ax，’ax.口x，刁x。’可由归纳法定义.它们与微分的次序无关;例如在Q上几乎处处有 J ZF_刁ZF 日x.刁x，日x，己x，’
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条