搜索结果: 1-15 共查到“应用数学 p-Laplace”相关记录18条 . 查询时间(0.273 秒)
一维p-Laplace二阶脉冲微分方程的奇异边值问题
边值问题 脉冲微分方程 解的存在性定理 不动点定理
2013/10/16
脉冲现象作为一种瞬时突变现象,在现代科技各领域的实际问题中是普遍存在的.本文研究具有奇异边值的一维p-Laplace二阶微分方程在脉冲影响下的正解的存在性,介绍了解的一般性存在定理,并用A-A定理和不动点定理证明了一维p-Laplace二阶脉冲微分方程的奇异边值问题的正解存在性定理.
三阶p-Laplace耦合奇异边值问题的正解
耦合奇异边值问题 正解 不动点理论
2013/10/18
本文通过构造Banach空间上的算子和运用不动点指数定理研究了一类含p-Laplace算子的三阶耦合奇异边值问题,并给出这类问题正解存在性的条件.
一类带p-Laplace型算子的高阶两点边值问题的极值解
边值问题 p-Laplace型算子 单调迭代方法 极值解
2013/10/19
本文主要研究一类带p-Laplace型算子的n(≥3)阶非线性常微分方程 -[φ(u(n-1)(t))]'=f(t,u(t)), a.e. t∈[a,b] 满足两点边界条件 u(i)(a)=Ai, i=0,1,…,n-3, u(n-1)(a)=A, u(n-1)(b)=B 的边值问题极值解的存在性,这里φ: R → R=(-∞,+∞)是递增的同胚,f: [a,b]×R → R 是L1-Carath...
$\mathbf{R}^{\bm N}$\,上的\,${\bm p}({\bm x})$-Laplace问题的多解性
变指数\,Sobolev\,空间 $p(x)$-Laplacian (PS)$_c^\ast$条件 喷泉定理 对偶喷泉定理
2014/1/10
在扰动项\,$f_1(x,u),\, f_2(x,u)$~中, 其中一项是超线性并且满足\,Ambrosetti-Rabinowitz\,条件, 另一项为次线性的情形下, 分别利用``喷泉定理''和``对偶喷泉定理'' 研究了无界区域\,$\mathbf{R}^{N}$\,上的\,$p(x)$-Laplace\,方程解的存在性和多解性问题. 此问题是基于变指数\,Lebesgue\,和\,Sobo...
The nonlinear product of the Bessel Laplace operator and the Bessel Helmholtz operator
Bessel Laplace operator Bessel Helmholtz operator
2010/9/25
It is found that the existence of the solution u(x) of such equation depending on the condition of f and k−1 B (B+m2)ku(x). Moreover such solution u(x) related to the nonhomogeneous Bessel bih...
Modified Laplace decomposition method
Modified Laplace decomposition method Exact solution
2010/9/25
In this paper, a reliable modification of Laplace decomposition method (LDM), namely the modified Laplace decomposition method (MLDM) is presented. The scheme is tested for some examples and the resul...
Behavior of the singular solutions of the problem governed by the adjunct of the Laplace operator affected by a weight function near the tops of plane polygon
Singularity Polygon function
2010/9/21
In this work, we study the behavior of the singular solutions of the problem governed by the adjunct of the laplacian operator affected by a weight function in a polygon. First, the study will be done...
Analytical inversion of two dimensional Laplace-Carson transform by a differential method
Two dimensional Laplace-Carson transform two dimensional Mellin transform Functional sequence
2010/9/25
Analytical inversion of two dimensional Laplace-Carson transform by a differential method.
An algorithm for solving initial value problems using Laplace Adomian decomposition method
Laplace Adomian decomposition method Initial value problems Symbolic computation
2010/9/14
In this paper, we present a symbolic algorithm for solving a class of nth order linear or nonlinear ordinary differential equations with initial conditions. This algorithm is based on Laplace Adomian ...
图的 Laplace spread 定义为图的最大 Laplace 特征值与次小 Laplace 特征值之差.利用多项式函数的性质, 得到了具有最大 Laplace spread 的双圈图.
M是带度量 g 的 n 维非紧黎曼流形,1<pleqslant 2 给定常数,triangle_p 是 M 上的 p-Laplace 算子,借助于经典的 Li-Yau 的方法证明了在一定的曲率条件下, 满足方程triangle_pu=-lambda|u|^p-2u 的正函数的一个梯度估计, 其中 lambdageqslant 0是常数; 同时得到了lambda 的一个上界估计; 进一步说明了此估计...
Sharp Constants for Some Inequalities Connected to the $p$-Laplace Operator
$p$-Poisson $p$-Laplace Inequalities Sharp constants Structure conditions
2008/6/26
In this paper we investigate a set of structure conditions used in the existence theory of differential equations. More specific, we find best constants for the corresponding inequalities in the speci...
具高阶Laplace算子的脉冲时滞双曲型方程组的振动性
双曲型方程组 振动性 高阶Laplace算子 脉冲 时滞
2012/11/8
讨论一类具高阶Laplace算子的脉冲时滞双曲型方程组的振动性,利用特征函数法和一阶脉冲时滞微分不等式获得了该类方程在2类不同边值条件下所有解振动的若干充分性条件.所得结论充分反映了脉冲和时滞在振动中的影响作用.
具有非对称项p-Laplace方程的无穷多解
p-Laplace算子 大Morse指标 非奇性扰动 无穷多解
2012/11/19
讨论了有界区域上一类具有非对称扰动项的p-Laplace方程.利用对应的Laplace方程大Morse指标, 给出了该问题变分泛函极小极大值序列的一个下界估计, 这个估计在一定范围内优于已有的结论.进而得到了无穷多个弱解的存在性.
Derivation of the Laplace-Beltrami operator for the zonal polynomials of positive definite Hermitian matrix argument
Laplace-Beltrami operator linear structures
2010/9/14
Some aspects of the complex linear structure theory, extending the real case due to Magnus (1988), are defined and studied. This theory provides complete proofs of conjectures given in literature arou...