1) p mean operator
p均方算子
1.
As q_Φ≥p or p_Φ≤p,the Φ inequalities of the p mean operators,conditional p mean operators,p mean sharp operators and conditional p mean sharp operators for martingales are proved respectively,and then,the sharpness of the coefficients of those inequalities are also investigated.
证明了鞅的p均方算子、p条件均方算子、p均方平削算子和p条件均方平削算子在qΦ≥p和pΦ≤p时鞅的一些Φ不等式,并讨论其中的不等式的系数的优良性。
2) p mean sharp operator
p均方平削算子
1.
As q_Φ≥p or p_Φ≤p,the Φ inequalities of the p mean operators,conditional p mean operators,p mean sharp operators and conditional p mean sharp operators for martingales are proved respectively,and then,the sharpness of the coefficients of those inequalities are also investigated.
证明了鞅的p均方算子、p条件均方算子、p均方平削算子和p条件均方平削算子在qΦ≥p和pΦ≤p时鞅的一些Φ不等式,并讨论其中的不等式的系数的优良性。
3) Conditional quadratic operator
条件均方根算子
4) conditional square operator
条件均方算子
1.
We investigate the boundedness of the conditional paraproduct operator on some martingale spaces, obtain some inequalities by the decomposition of martingale, and give some applications of inequalities on conditional square operator.
利用鞅的分解得出了一些条件仿积算子的强型和弱型不等式,并给出了部分不等式在条件均方算子上的应用。
5) p-Laplacian operator
p-Laplace算子
1.
By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta,the abstract results on the existence of solution u∈L~a(Ω)of nonlinear boundary value problems involving the p-Laplacian operator have been obtained, where(2N/N+1)＜p(?)s＜+∞,for N(?)1.
利用Calvert和Gupta关于非线性增生映射值域的扰动理论,研究了与p-Laplace算子相关的非线性边值问题在L~s(Ω)空间中解的存在性,其中(2N/N+1)＜p(?)s＜+∞且N(?)1。
2.
This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator.
利用锥拉伸与锥压缩不动点定理,研究一类具p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性,给出了单调正解存在的充分条件,并确定了解曲线的凹凸性。
3.
In chapter 4, the existence of homoclinic solutions for the non-autonomous second system with p-Laplacian operator is discussed, where p > 1.
第四章:讨论带p-Laplace算子的非自治二阶系统同宿轨道的存在性,推广了第三章的结果,其中p>1。
6) p-Laplacian operator
p-Laplacian算子
1.
Existence of solution for nonlinear two-point boundary value problems with one-dimensional p-Laplacian operator;
含有一维p-Laplacian算子的非线性两点边值问题的可解性
2.
Existence of three positive solutions in a multi-points boundary value problem of p-Laplacian operator with first-order derivative;
含导数项的p-Laplacian算子多点边值问题三个正解的存在性
3.
The existence of multiple positive solutions for higher order boundary value systems with p-Laplacian operator;
高阶p-Laplacian算子方程组边值问题多个正解的存在性
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
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