1) Continuation theorem of coincidence degree
迭合度理论
1.
In this paper, by using the continuation theorem of coincidence degree theory and constructing appropriate Liapunov functions, sufficient and realistic conditions for existence and globally asymptotic stability of periodic solution are established for a kind of nonautonomous periodic cellar neural networks system with time varing-delays.
通过运用迭合度理论和构建合适的Liapunov函数的方法，在两组不同条件下，分别得到了系统的周期解存在性和全局渐近稳定性的充分性条件。
3) coincidence degree
迭合度
1.
By means of the continuation theorem of coincidence degree theory, existence criteria are established for the existence of periodic solutions and some previous results are extended.
通过应用迭合度理论中的延拓定理 ,研究一类二阶Li啨ｎａｒｄ型泛函微分方程周期解的存在性 。
2.
The continuation theorem of coincidence degree theory and analysis techniques are applied to study the existence and global exponential stability of periodic solutions of BAM neural networks with distributed delays.
利用迭合度理论的延拓定理和分析技巧,得到了周期解的存在性和全局稳定性的充分条件,对设计这种类型的神经网络具有重要意义。
3.
The existence of periodic solutions for p-Laplacian equations with some deviating arguments is studied by using coincidence degree theory.
研究了一类具多偏差变元的n-维p-Laplacian方程周期解的存在性,利用迭合度理论得到了存在周期解的新条件。
4) Theory of coincidence degree
重合度理论
1.
The theory of coincidence degree is used to study the second order differential equation x″(t)+ax′(t)+bx(t)+g(x(x(t)))=p(t), which has complex deviating arguments,and the main theory about periodic solutions to this equation is provided.
用重合度理论研究了二阶的具有复杂偏差变元的Duffing型方程x″(t)=ax′(t)+bx(t)+g(x(x(t)))=p(t),得到其周期解的存在性。
2.
In this paper,the theory of coincidence degree is used to study the existence of a periodic solution for the differential equation with delayax″(t)+cx′(t)+bx(t)+g(x(t-τ(t)))=p(t)and a sufficient theorem is obtained for the existence of a periodic solution of of the equation.
用重合度理论研究一类时滞微分方程ax″(t)+cx′(t)+bx(t)+g(x(t-(τt)))=p(t)周期解的存在性,得到了该方程存在T(T>0)周期解存在的充分性定理。
3.
By using the theory of coincidence degree,we study periodic solutions for a kind of second order neutral functional differential equations(x(t)-cx(t-σ))″+g(t,x(t-τ(t)))=p(t).
利用重合度理论,研究一类二阶中立型泛函微分方程(x(t)-cx(t-σ))″+g(t,x(t-τ(t)))=p(t)的周期解的存在性,得到了周期解存在的新的结果。
5) continuation theorem
重合度理论
1.
By means of continuation theorem of coincidence degree theory,the authors study a class of second order differential equation with multiple deviating arguments x″(t)+f(t,x(t),x(t-τ0(t)),x′(t))+∑ from j=1 to n g(x(t-τj(t)))=p(t) Some new results on the existence f periodic solution are obtained.
本文利用重合度理论研究了一类二阶多偏差变元的微分方程x″(t)+f(t,x(t),x(t-τ0(t)),x′(t))+∑ from j=1 to n g(x(t-τj(t)))=p(t)的周期解问题,得到了存在周期解的新的结果。
2.
By means of Mawhin s continuation theorem, we studied a kind of third order functional differential equation with deviating arguments in the following form: and some new results on the existence of 2π-periodic solutions are obtained.
利用重合度理论研究一类三阶具偏差变元微分方程c(t)x′′′(t)+(∑|i=0|2)[aix(i)2k-1(t)+bix(i)2k-1(t-τi)]+g1(x(t))+g2(x(t-τ(t)))=p(t)的2π-周期解问题,得到了其存在2π-周期解的一些新的结果。
3.
By employing the continuation theorem of coincidence degree theory,we study a kind of third order functional differential equation with a deviating argument as follow:x(t)+ax″(t)+bx′(t)+cx(t)+g(x(t-τ(t)))=p(t).
利用重合度理论研究一类三阶具偏差变元微分方程x(t)+ax″(t)+bx′(t)+cx(t)+g(x(t-τ(t)))=p(t)的2π-周期解问题,得到了存在2π-周期解的充分条件。
6) coincidence degree
重合度理论
1.
Existence of periodic solutions for higher order functional differential equation is consider,by using the theorem of coincidence degree,the sufficient conditions for its there being at least a T-periodic solution is obtained.
利用重合度理论,研究了一类具偏差变元高阶L ienard型方程周期解的存在性,获得了该方程至少存在一个周期解的充分条件。
2.
In the second part, we will prove the persistence of the system and find the conditions for the existence of periodic solutions by using the Gaines and Mawhin\'s continuation theorem of coincidence degree theory.
本文将研究一类含有时滞的基于比率依赖的非自治捕食者-食饵扩散系统,在第二章证明该系统的一致持久性,并利用Gaines和Mawhin的关于重合度理论的连续性定理,建立模型正周期解的存在性条件。
3.
By using the theorem of coincidence degree,a class of second order neutral functional differential equation with infinite delay is studied.
利用重合度理论研究了一类具有无穷时滞二阶中立型泛函微分方程,获得了周期解存在的一些新的结果。
补充资料：层层迭迭
1.见"层层迭迭"。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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