共查询到20条相似文献,搜索用时 31 毫秒
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常曲率空间中有限点集的两类几何不等式 总被引:1,自引:1,他引:0
应用距离几何的理论与方法,研究了n维常曲率空间中有限点集的一些几何度量之间关系,建立了常曲率空间中有限点集的两类几何不等式,推广了已有的结果. 相似文献
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Cheng Chonggao Yuan Minghao 《Annals of Differential Equations》2005,21(3):256-259
This paper studies a class of Hille equation. A formula for solutions of a class of Hille equation is given. Under some suitable conditions the oscillation and nonoscillation of a class of Hille equation are established. Our results generalize the known Hille's ones. 相似文献
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In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on the geometrical properties of the Banach space in which the martingales take values. 相似文献
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By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. 相似文献
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关于一类非线性发展方程整体解的存在性问题 总被引:16,自引:1,他引:15
本文研究一类模拟非线性弹性杆的纵振动的非线性发展方程的初边值问题,证明了其整体解的存在性、唯一性、光滑性及在一定条件下,整体解的不存在性。 相似文献
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OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE
Some oscillation theorems are established by the averaging technique for a class of second order neutral differential equations of Emden-Fowler type. Our results essentially improve some known results in the previous literature. 相似文献
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Xiao Li Liu Ting Liu Anping Li Yarding 《Annals of Differential Equations》2005,21(3):465-468
In this paper, oscillatory properties of solutions for nonlinear impulsive hyperbolic differential equation are investigated and some new sufficient conditions are established. 相似文献
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在左截断右删失下,本文讨论了一类广义Von-Mises泛函估计的渐近性质.在一定条件下,得到了此类泛函估计的强逼近和U-统计量表示,并由此得出它的强相合性、渐近正态性及重对数律. 相似文献
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An estimate of the upper bound is given for the double determinant of the sum of two arbitrary quaternion matrices, and meanwhile the lower bound on the double determinant is established especially for the sum of two quaternion matrices which form an assortive pair. As applications, some known results are obtained as corollaries and a question in the matrix determinant theory is answered completely. 相似文献
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HARNACK ESTIMATES FOR WEAK SOLUTIONS OF EQUATIONS OF NON-NEWTONIAN POLYTROPIC FILTRATION 总被引:2,自引:1,他引:1
YANG Shixin 《数学年刊B辑(英文版)》2001,22(1):63-74
51. IntroductionIn this paper we investigate the local behavior of nonnegative weak solutions for theequations of non-Newtonian polytropic filtrationac -- div(IDumlp--'Dam) = 0,m(p -- 1) < 1,m > 0,p > l, in D'(flT),u E CI..(0, T; L?o.(n)), urn E Lro.(0, T; WI:)l(fl)), (1.1)where n is an open set of R", N 2 1, 0 < T < ool fiT ~ fix (0, T), and D ~ (k,', e).Equation (1.1) appears in a number of applications to describe the evolution of diffusion.The evolution HLaplacian equationut ~ … 相似文献
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一类四阶非线性方程奇摄动边值问题解的估计 总被引:1,自引:0,他引:1
本文考虑了一类四阶非线性方程边值问题的奇摄动,在适当的条件下,构造了其渐近展开式,证明了解的存在性及高阶一致有效渐近估计。 相似文献
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MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS 总被引:1,自引:0,他引:1
This paper is concerned with the boundary value problem for a system of nonlinear third order differential equations. Under some suitable conditions, the existence and multiplicity of the positive solutions are established by using abstract fixed-point theorems. 相似文献
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对流扩散方程的一类迎风格式 总被引:7,自引:1,他引:7
这里Ω为R~2中的有界区域,?Ω为其边界;a为正常数,c(x,y)和b(x,y)=(b_1(x,y),b_2(x,y))τ分别是?上的光滑函数和向量函数,且0相似文献
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In this article, a sufficient condition for a Clifford continued fraction to be convergent is established, and some applications are given. 相似文献
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In this paper we study the oscillations for a class of functional differential inequalities. By using these properties some forced oscillations to the boundary value problems of functional partial differential equations are established. 相似文献
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本文研究了一个二阶差分方程边值问题解的存在性问题.利用临界点理论和变分方法,获得了几个解的存在性结果,推广了一些现有的结果. 相似文献