1) Existence and Multiplicity
存在性和多重性
1.
Existence and Multiplicity of Solutions for a Class of Elliptic Equations at Resonance;
一类椭圆方程共振问题解的存在性和多重性
3) existence of multiple solutions
多解存在性
5) 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。
6) existence and uniqueness
存在性和惟一性
1.
In this paper,we study the existence and uniqueness of solution for nonlinear boundary value problem of Volterra type equation by means of differential inequality theories.
利用微分不等式理论研究了二阶Volterra型积分微分方程非线性边值问题的解的存在性和惟一性。
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-
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参考词条