共查询到20条相似文献,搜索用时 0 毫秒
1.
2.
1IntroductionLeray-Schauderdegree,anditsvariantssuchascoinidencedegree113]andtopologicaltransversality[4],isanefficienttooltostudythesolvabilityofboundaryvalueproblemsfornonlineardifferentialequations,especiallyf'Orsemilineardifferentialequations.Bytherec… 相似文献
3.
一类非线性发展方程初边值问题解的Blow—up 总被引:3,自引:1,他引:2
杨志坚 《高校应用数学学报(A辑)》1993,(4):351-359
本文利用Fourier变换方法,研究了一类非线性拟双曲方程的初边值问题的解的bolw-up问题,并给出了其解在有限时间内bolw-up的条件。 相似文献
4.
映象方程多解问题的某些研究 总被引:1,自引:0,他引:1
本文用fp-同伦方法,在一定的技巧和变换的配合下,在紧性条件支持下,研究了赋范线性空间中一类集值映象方程的多解问题。还给出所得理论结果的一个应用。 相似文献
5.
In this paper, we discuss the existence of sign-changing solution, positive solution and negative solution to two-point boundary value problem of dynamic equations on measure chains using the cone theory and the fixed-point index method. The results are different from the previous results. 相似文献
6.
唐贤江 《数学物理学报(B辑英文版)》1995,(3)
ONTHEEXISTENCEANDUNIQUENESSOFTHESOLUTIONTOTHENAVIER-STOKESEQUATIONSTangXianjiang(Dept.ofMath.,Sichuanuniversity,Chengdu610064... 相似文献
7.
Sufficient conditions are established for the solvability of the boundary value problem
where p : C(I; R
n) × C(I; R
n) L(I; R
n), q : C(I; R
n) L(I; R
n), l : C(I, R
n) × C(I; R
n) R
n, and c
n : C(I, R
n) R
n are continuous operators, and p(x, ) and l(x, ) are linear operators for any fixed
. 相似文献
8.
Chang-fengMa Pu-yanNie Guo-pingLiang 《计算数学(英文版)》2003,21(6):747-758
The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by constructing a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm. 相似文献
9.
三阶常微分方程的两点边值问题 总被引:16,自引:0,他引:16
葛渭高 《高校应用数学学报(A辑)》1997,(3):265-272
本文由二阶常微边值问题的解出发,给出三阶非线性常微分方程两点线性及非线性边界条件下边值问题解的存在性判居。 相似文献
10.
11.
本文对同心球间旋转流动的Navier-Stokes方程谱展开后进行三模态截断,研究了所得到的类Lorenz型方程组的分歧问题.推导了同心球间旋转流动的Navier-Stokes方程的流函数-涡度形式,给出了静态奇异点的条件,并计算出解分支. 相似文献
12.
51.IntroductionDtherelltial-iterativeequationisakindofspecialfunctionaldmerelitialequationswhichwerediscussedrecently[1--6].Mostoftheresearche.[1--3]nowavailablefocusedontheeln-tenceofautonomousdifferential-iterativeequationintheformofwherex(2)=x(x(t))andx(k)=x(x(*--')(t)),k=3,4,'In,andsomeintheml4--5]dealtwiththeequatiollx'(t)~(a'--xZ(t))f(x(")(t)).Weproposedatransformationtheoremin[6]andusedittodiscusstheetistenceandbehaviorofsolutionstotheequationx'(t)'=.ax(t)--b-c(x(t)),where0相似文献
13.
ON THE VISCOSITY SPLITT NG METHOD FOR INITIAL BOUNDARY VALUE PROBLEMS OF THE NAVIAR-STOKES EQUATIONS
Ying Longan 《数学年刊B辑(英文版)》1989,10(4):486-512
The viscosily splitting method for the Navier-Stokes equations on two dimensional multi-connected domains is considered. The equation is split into an Euler equation and a non-stationary Stekes equation within each time step. The author proves the convergence theorem as he has done for the problem on simply connected domains, and the rate of convergence is improved from loss than 1/4 to 1. 相似文献
14.
本文研究了拟线性抛物型方程的初边值问题在无界区域D上的全局解存在性问题和局部解的Blow-up问题.利用上、下解方法,并借助Green函数,给出了问题(I)全局解的存在性条件,也给出了局部解发生Blow-up现象的条件 相似文献
15.
roductlonWe establish reglllaxlty results for the GFD-Stokes system and some second order ellipticp 相似文献
16.
《Quaestiones Mathematicae》2013,36(4):305-328
Abstract We consider the regularity up to the boundary of solutions of those elliptic boundary value problems that can be treated by the non-variational theory developed by Schechter and others. The usual method of differential quotients is replaced by a method of Schappel [5] which is based on the properties of a Laplace-type operator 1-?2. In this paper the results of Schappel, which are given for boundary value problems in variational form, are extended to the non-variational case. We make important use of fractional order Sobolev spaces on the boundary and trace theorems. 相似文献
17.
1IntroductionUnique continuation of solutions to the linear partial di?erential equations with analyticcoe?cients is well known.There are more general results in elliptic,parabolic and hyperbolicequations(cf.[8-10,12-13]and references therein).The continu… 相似文献
18.
高阶椭圆型方程特征值问题的几点注记 总被引:1,自引:0,他引:1
问题(1.2)的特征值和相应的特征函数分别记为{λ_k}和{(?)k(x)}.众所周知,椭圆型方程特征值问题是一个十分重要和基本的数学物理问题,它不仅有者非常明确的力学和物理背景,而且在近代偏微分方程的理论研究中也占有很突出的地位. 相似文献
19.
20.
Lung-an Ying 《计算数学(英文版)》2000,18(6):657-672
1. IntroductionThe infinite element method has been successfully applied to some boundary valueproblems of partial differential equations, where the solutions possess corner singularpoints or the domains are exterior ones. If the equations are invariant under similaritytransformation the approaches have been given in [11] [131 for singular solutions, and in[12][15][181119] for the exterior problems. If the equations do not admit the above invariant property? one approach has been given in [14]… 相似文献