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1)  D4-symmetric positive(solution)
D4对称正解
2)  symmetric positive solution
对称正解
1.
In this paper,an existence result of symmetric positive solution for fourth-order boundary value problems is obtained by using the fixed-point index thoery.
讨论了一类四阶两点边值问题u(4)(t)=f(u(t),u(′t),u(″t)),t∈[0,1],u(0)=u(1)=u″(0)=u″(1)=0对称正解的存在性,用不动点指数理论证明了在一定条件下问题至少存在一个对称正解。
2.
The two iterative schemes of symmetric positive solution are studied for a two-point boundary value problem by the help of monotonic technique.
对一类两点边值问题给出了对称正解的两种单调迭代格式,主要工具是单调算子迭代技巧。
3.
In this paper,we discuss the existence of symmetric positive solutions for a kind of for fourth-order two point boundary value problem.
文章讨论了一类四阶两点边值问题对称正解的存在性,用不动点指数理论证明了在一定条件下,问题至少存在一个对称正解。
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3)  positive radial solution
正对称解
1.
We study the existence and structure of entire explosive positive radial solutions for quasilinear elliptic systems (div(u~(m-2)u))=p(x)f(v), div(v~(n-2)v)=q(x)g(u) on R~N, where f and g are positive and non-decreasing functions on (0,∞).
研究了拟线性椭圆型方程组div( um-2 u)=p( x )f(v), div( vn-2 v)=q( x)g(u)在RN上爆破整体正对称解的存在性和解集的性质,其中f和g在(0,∞ )上是正的递增函数。
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4)  symmetric positive solutions
对称正解
1.
Existence of symmetric positive solutions for second-order four-point boundary value problems with a p-Laplacian operator on time scales
时标上具有p-Laplacian算子的二阶四点边值问题对称正解的存在性
2.
By using the Legget-Williams fixed point theory the existing conditions of the multiple symmetric positive solutions for a second order boundary value problerm are gained and its application is given.
研究了奇异边值问题解的存在性 ,利用Leggett_Williams不动点定理 ,得到了存在多个对称正解的条件 。
3.
This paper applies the fixed point theorem to the obtaining of sufficient conditions for the existence of symmetric positive solutions to a class of second-order singular boundary value problems:-x″=λf(t,x),and x(0)=x(1)=0.
讨论了二阶奇异边值问题:-x″=λf(t,x),x(0)=x(1)=0的对称正解的存在性。
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5)  symmetric positive definite solution
对称正定解
1.
The symmetric positive definite solutions of matrix equations (AX,XB)=(C,D) and AXB=C are considered in this paper.
讨论了矩阵方程（ＡＸ，ＸＢ）＝（Ｃ，Ｄ）和ＡＸＢ＝Ｃ的对称正定解。
2.
In this paper,we study the problem about the symmetric positive definite solution to a class of mixed-type Lyapunov matrix equations.
本文研究了一类混合型Lyapunov矩阵方程的对称正定解问题。
6)  pseudosymmetric positive solution
伪对称正解
补充资料：对称与非对称
反映客观事物在结构、功能、时空上的特殊联系的范畴。对称指事物以一定的中介进行某种变化时出现的不变性，非对称指事物以一定的中介进行某种变化时出现的可变性。在自然界中普遍存在，形式多样。对称有空间对称(包括形象对称和结构对称)、时间对称、概念对称等。
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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