1) existence and uniqueness
存在性和唯一性
1.
By using the Sadovskii fixed point theorem,the existence and uniqueness of solutions for the initial value problem of a class of nonlinear singular impulsive integro-differential equations on half-line in Banach spaces is investigated under more extensive conditions,and the known results in the literatue are extended and improved.
本文在更广泛的情况下,利用Sadovskii不动点定理研究了Banach空间中半直线上一类非线性奇异脉冲积分-微分方程初值问题解的存在性和唯一性,推广并改进了已有文献中的相关结果。
2.
Deals with a class of singular nonlinear two point boundary value problem -y″=f(x,y),0≤k<x<1,y′(k)=C,y(1)+Dy′(1)=η ( D >0) with a view of obtaining the existence and uniqueness of positive solutions.
研究了一类奇异非线性两点边值问题－ｙ″＝ｆ（ｘ，ｙ），０≤ｋ＜ｘ＜１，ｙ′（ｋ）＝Ｃ，ｙ（１）＋Ｄｙ′（１）＝η（Ｄ＞０）的正确的存在性和唯一性，其中假定函数ｆ（ｘ，ｙ）关于变量ｙ具有奇性（ｌｉｍｙ→０＋ｆ（ｘ，ｙ）＝＋∞
3.
The present paper covers the existence and uniqueness of solution for its boundary valueproblem of the reaction-diffusion system of volterra type proved by means of upper and lower solu-tion.
利用上下解得到了一个Ｖｏｌｔｅｒｒａ型反应扩散方程组，初边值问题解的存在性和唯一性，并将所得的结果应用于两种群共生系统的实际模型。
2) existence and uniqueness
存在唯一性
1.
The existence and uniqueness of a class of odd differential system;
一类奇次微分系统极限环的存在唯一性
2.
On existence and uniqueness of 2π-periodic solution for a Class of Dufffing Equations;
一类Duffing型微分方程2π周期解的存在唯一性
3.
The existence and uniqueness of almost periodic solutions for a fully nonlinear first-order almost periodic system;
完全非线性一阶概周期系统概周期解的存在唯一性
3) existence
[英][ɪɡ'zɪstəns] [美][ɪg'zɪstəns]
存在唯一性
1.
On the existence of almost periodic solutions of a class difference equations;
一类非线性差分方程概周期解的存在唯一性
2.
By using of discrete Liapunov function,the existence of almost periodic solutions for a class of difference equations is investigated, a new result has been obtained.
利用构造离散形式的Liapunov函数来研究差分方程概周期解的存在唯一性。
3.
<Abstrcat>To extend the interpolation problems of Lagrange and Taylor is the ordinary problem about interpolation with derivatives of higher order; The existence of only solution and error estimate are proven; The realizing method is given.
将拉格朗日插值问题、泰勒插值问题揉合为一体进行综合推广,即高次带导数的插值问题的一般情形;给出了关于问题解的存在唯一性、余项估计的证明;并讨论了具体的实现方法。
4) existense and uniqueness
存在唯一性
1.
By using global inverse function theorems this paper proves the existense and uniqueness of periodic solution of forced Liénard equation x″+f(x)x′+g(t,x)=e(t) The results generalize and improve some known results.
本文利用整体反函数理论证明了受迫Liénard方程x″+f(x)x′+g(t,x)=e(t)周期解的存在唯一性,推广和改进了现有的结果。
2.
In this paper,we use global inverse function theorems to investigate periodic boundary value problem of semilinear equation,and give out a sufficient condition of existense and uniqueness for periodic solution,The results generalize and improve some known results.
本文利用整体反函数理论,研究了半线性周期边值问题,给出存在唯一性的充分条件,推广和改进了现有的结果。
3.
By global inverse function theorems, the existense and uniqueness for periodic solution of generalized Lienard equation a(t)x"+f(x, x′)x′+g(t, x)=e(t)x(0)-x(2π)=x′(0)-x′(2π)=0 is proved, and the existense and uniqueness theorem for periodic solution is acquired for some special case.
应用整体反函数理论证明了广义L ienard方程a(t)x"+f(x,x′)x′+g(t,x)=e(t),x(0)-x(2π)=x(′0)-x′(2π)=0,周期解的存在唯一性,并由此得到它在几种特殊情况下周期解的存在唯一性定理。
5) unique existence
唯一存在性
1.
In this paper, we prove the unique existence and continuous dependence on parameter of solutions for abstract differential equation in Banach space by mean s or fixed point theorem.
本文利用不动点定理，证明了Ｂａｎａｃｈ空间中具不连续右端微分方程解的唯一存在性及对参数的依赖性。
6) Existence and uniqueness of solution
解的存在性和唯一性
1.
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
补充资料：连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt，n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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