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本文提出一个解线性规划问题的新算法.其最优解是通过求一个相容方程组的非负解而得到.这算法的计算量在最坏情况下是O(mnτ),其中τ是相应方程的m×n矩阵非零元素的个数. 相似文献
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本文研究了一类渐近线性椭圆问题解的存在性.通过环绕定理,得到了此问题存在一个非平凡解.Abstract: In this article,we study the existence of solutions to an asymptotically linear elliptic problem.By the linking theorem,we obtain that such problem has a nontrivial solution. 相似文献
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张连生 《应用数学与计算数学学报》1993,7(2):54-60
1.引言关于线性规划的多项式算法,哈奇扬于1979年首先把一个线性规划问题化成一个线性不等式组的求解问题,然后用椭球方法求解线性不等式组,并证明是多项式时间可解的。Karmarkar于1984年也给出了一个求解线性规划的多项式时间解法,他 相似文献
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薛儒英 《数学物理学报(A辑)》2000,20(4):555-561
该文用振扑度理论讨论了超线性椭圆型方程组整体解的存在性,给出了保证整体解存在的一个充分条件以及整体解在无穷远外的渐近性质。 相似文献
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利用变分方法,结合拓扑度理论,该文证明了一类带有Hardy-Littlewood-Sobolev临界指标的椭圆方程组至少存在两个正的高能量解. 相似文献
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该文运用变分方法研究R~N上一类拟线性椭圆型方程,得到一定条件下这类问题的两个非负解的存在性.其中一个解是通过局部极小得到的,另一个是运用山路引理得到的. 相似文献
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本文在有界正则域内研究了一类加权拟线性抛物方程组.由单个抛物方程相关的已知结论得到此类方程组的非负entropy解的正下界,然后利用一般的Picone恒等式并构造适当的检验函数,证明此类方程组的非负entropy解不存在. 相似文献
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In this paper, the authors study the asymptotically linear elliptic equation on manifold with conical singularities ??Bu + λu = a(z)f(u), u ≥ 0 in RN+,where N = n + 1 ≥ 3, λ > 0, z = t,x1,· · · ,xn, and ?B = (t?t)2 + ?2x1 + · · · + ?2xn. Combining properties of cone-degenerate operator, the Pohozaev manifold and qualitative properties of the ground state solution for the limit equation, we obtain a positive solution under some suitable conditions on a and f. 相似文献
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Fukun Zhao Leiga Zhao Yanheng Ding 《NoDEA : Nonlinear Differential Equations and Applications》2008,15(6):673-688
This paper is concerned with the following periodic Hamiltonian elliptic system
where the potential V is periodic and has a positive bound from below, f(x, t) and g(x, t) are periodic in x, asymptotically linear in t as . By using critical point theory of strongly indefinite functionals, existence of a positive ground state solution as well
as infinitely many geometrically distinct solutions for odd f and g are obtained.
This work was supported partly by NSFC (10561011 and 10671195), NSFC of Yunnan Proviance, and the Foundation of Education
Commission of Yunnan Province, China. 相似文献
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In this paper, we show that the semilinear elliptic systems of the form
(0.1) 相似文献
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P. Polácbreveik 《偏微分方程通讯》2013,38(4):657-669
We consider the Dirichlet problem for semilinear elliptic equations on a smooth bounded domain Ω. We assume that Ω is symmetric about a hyperplane H and convex in the direction orthogonal to H. Employing Serrin's result on an overdetermined problem, we show that any nonzero nonnegative solution is necessarily strictly positive. One can thus apply a well-known result of Gidas, Ni and Nirenberg to conclude that the solution is reflectionally symmetric about H and decreasing away from the hyperplane in the orthogonal direction. 相似文献
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For a system with symmetric circulant matrix, conditions on the right-hand side vector which ensure the positivity of the solution to the system are found. As an application of the results obtained, the problem of positive spline interpolation of positive functions on uniform grids is studied. 相似文献
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周朝晖 《数学年刊A辑(中文版)》2006,(3)
本文主要研究了在曲率渐近非负流形上的一些性质:其上不存在非常数的正调和函数;若其调和函数是对一固定指数d的多项式增长,那么由这些调和函数所组成的空间的维数≤Cd~(CD),而且此流形的体积为无穷大等. 相似文献
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Sachindranath Jayaraman 《Numerical Functional Analysis & Optimization》2013,34(11):1272-1282
Connections between nonnegative generalized inverses and interval linear programs form the subject matter of this article. Characterizations of nonnegativity of the Moore–Penrose inverse and the group inverse are presented and their role in the study of a special class of optimization spaces, namely, Ben-Israel–Charnes spaces is brought out. The interplay between Ben-Israel–Charnes spaces and other notions of generalized inverse positivity are also studied. 相似文献
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程建纲 《数学物理学报(A辑)》2005,25(4):482-488
该文考虑两点边值问题[1/q(t)][q(t)y′(t)]′+p(t)f(y(t))= 0,λ_1 y(α)-λ_2y′(α)=0 and y(β)=B非负解的存在性, 其中p(t)可能在t=α或t=β附近具有奇异性, f(0)≥0,
lim_(y→+∞)f(y)/y=+∞, 并且存在y>0, 使得f(y)<0. 相似文献
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郝兆才 《数学物理学报(A辑)》2001,21(2):225-229
该文研究了一类半线性三阶差分方程边值问题Δ3u(t)+a(t)f(u(t))=0,2≤T≤T+2,u(0)=u(1)=u(T+3)=0的非负解,得到了该方程在锥与环形域相交部分非负解的存在性,包含、改近和推广了文[3,4,5,6]的主要结果. 相似文献
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