1) P-operator
P算子
1.
P-operator and periodic boundary values of non-linear differential-integral equation;
P算子与非线性微分积分方程的周期边值问题
2) 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。
3) 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
4) p-Laplacian
p-Laplacian算子
1.
The existence of positive solution for a multi-point boundary value problem with p-Laplacian;
一类具有p-Laplacian算子的多点边值问题正解的存在性
2.
Existence of Solution for m-point Boundary Value Problems at Resonance with p-Laplacian Operator;
具有p-Laplacian算子共振边值问题解的存在性
3.
The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator;
一维p-Laplacian算子型奇异边值问题可数多正解的存在性
5) p-Laplace operator
p-Laplace算子
1.
Existence of solution of boundary value problems with p-Laplace operator;
具p-Laplace算子型边值问题解的存在性
2.
The physical characteristics of total variation(TV) model and p-Laplace operator in local coordinates are analyzed,which shows that the diffusion performance of p-Laplace operator is essentially superior to that of TV model.
首先从局部坐标角度分析整体变分(TV)模型与p-Laplace算子的物理意义,从本质上说明p-Laplace算子的扩散性能优于TV模型,进而提出一种基于p-Laplace算子的图像修补算法。
3.
The existence of solutions to a type of nonlinear ordinary differential equations four-point boundary value problems with p-Laplace operator was studied by means of the extension of Mawhin s continuation theorem with sufficient conditions obtained for the existence of solution.
利用Mawhin连续引理的推广形式,研究一类具p-Laplace算子的非线性常微分方程四点边值问题解的存在性,得到了方程解存在的充分条件。
6) p-Laplacian
p-Laplace算子
1.
Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian;
带p-laplace算子的两点边值问题三个正解的存在性
2.
In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.
利用不动点指数理论研究了一类含p-Laplace算子的四阶奇异边值问题的多重正解的存在性,给出了至少存在两个正解的条件,改进了不久前其他作者的相关研究。
3.
Existence and iteration of positive solutions for a multipoint some p-Laplacian differential equation was studied by applying a monotone iterative method.
利用单调迭代方法讨论了一类具有p-Laplace算子的多点边值问题,不仅得到了两个正解,而且建立了迭代序列逼近其解。
补充资料：Cauchy算子
Cauchy算子
Caudiy operator
Ca吐hy算子【Ca血hyOI界口tor;KO山“onepaTopl 常微分方程组 戈=f(t，x)，x任律(1)的Q以为y算于是依赖于两个参数0和!的算子入叨，;):R”~r，对系统(l)的任何解x(t)在点t=:的值给定的情况下，它给出此解在点t=0的值 X(8，，)x(，)=x(8). 如果(l)为一线性系统，即 交=A(t)x，(2)其中A(·)是(“，刀)~Hom(r，r)(或求(“，方)~Hom(C”，C”))的一个映射，在每个区间内可和，那么对任何0，“(“，脚，Q以为y算子是一个r~r(或C”~C”)的非奇异线性映射，并且对任何0，:，叮E(:，口)，它满足 X(8，8)=I，X(6，，)二X一I(，，6)， X(8，刀)X(，，，)=X(6，，)和不等式，，·‘。r)，，毛一…于，，一，}dt…(方程(3)对满足Caucll)问题解的存在和唯一性条件的J「线性系统(l)也.是成立的，只要对其中描述的算子的定义域作一些必要的规定.)系统 丫互A(t林+h(r)的通解是用系统叹)的ouch}]算护X(白，:)由常数变易(vana加nofcortstallts)公式 x“)一X(‘，‘)‘(:)+jX(‘·口)h(口)do表示的其中h(·)是一个在每个区间上可求和的映身、全 (a，尸，*R月(或一a方)一+e) 系统(2)的0 ochy算子满足口八抽此」尤1训「件Jc以面公式(Lio咖lle一() strogl花ldski form沮a) 夕 det‘(“，，)一expj‘r”(。“安，其中trA(七)是算子4(七)的迹. 系统(l)的(奴uchy算子X(O，:)在点x任r的导数等于系统(l)沿着解天(t)的变分方程系统的心uc场算子，其中I(t)在t=:处的值为关(基干这样的假定，即对以口和下为端点的区间内所有的t，x(t)的图形落在区域G〔R耐’内，使得厂为在G内具有连续导数的连续映射G一R找这是判断解妙却停的可禅件(di玉此”-tiabillty of the solutK，n俪th喂1狱!tto此initial耐优)定理的一种表示). 对常系数日(t)二A)的线性系统‘2)，Quclly算 户由 X(夕，丁)exP((6一下洲)(4)定义(给定了线性算子B，exPB定义为艺鑫。矛/划;采用另一种方法，置口=T十飞，可通过式(4)定义expA).由(4)明显看出，Cauclly算子仅依赖于参数的差口一:: 万(口十I，下十t)火(口，幼.这方程是系统自治性的结果一--一个适合于1每个自治系统(如tono仃l(’uss声tern) 一、二[(x)，x。
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参考词条