共查询到20条相似文献,搜索用时 62 毫秒
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本文研究广义Lenard方程解的振动性,在方程具有一个奇点与多个奇点的情形下,给出了使它的所有解振动的一系列充要条件,推广了文[2],[4]的结果,改进了[5]的结果. 相似文献
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广义Lienard方程解的振动性 总被引:11,自引:0,他引:11
本文研究了广义Lienard方程解的振动性,在方程具有一个奇点与多个奇点的情形下,给出了使它的所有解振动的一系列充要条件,推广了文[2],[4]的结果,改进了[5]的结果。 相似文献
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在本文中,我们研究了具偏差变元系统X’(t)=p(t)Φ(x(t)y(t),y’(t)=-f(t,x(g(t))的解的振动性,所得结果推广了[1][2]的有关结果,并与文献[3][4]的结果互不包含。 相似文献
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一类中立型微分方程的比较定理及应用 总被引:1,自引:0,他引:1
考虑中立型微分方程[x(t)-x(t-τ)](n)+Q(t)x(t-σ)=0,tt0,其中n1为奇数,τ∈(0,∞),σ∈R+=[0,∞),Q∈C([t0,∞),R+).本文获得了此方程存在最终正解以及所有解振动的新的比较定理.并据此获得了所有解振动的“sharp″条件以及存在最终正解的一般性结果,改进了文[4]的主要结果. 相似文献
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本文研究中立型时滞Logistic方程的振动性与非振动性问题.所得结果改进了文[1]中的相关结论. 相似文献
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Dai Binxiang 《大学数学》1998,(2)
我们获得了带有分段常数变元的时滞微分方程x′(t)+a(t)x(t)+∑mi=1bi(t)x([t-i])=0,t≥0所有解振动的新的充分条件,这里[·]定义为最大整数函数.我们的结果改进了文献中的某些已知结果. 相似文献
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中止规则的平均延迟时间及其应用 总被引:1,自引:1,他引:0
本文以平均延迟时间为度量,对适用于连续抽样方案的四种中止规则,即规则[S],[R],[N,c]及[R,d]的中止“速度”进行了比较。结果表明:[R]优于[S],而[N,c]与[R,d]均优于[R]。这些结论及方法可被用来适当地选择中止规则,以提高连续型生产的质量控制水平 相似文献
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含分段常数变元的中立型时滞微分方程的振动定理 总被引:2,自引:0,他引:2
含分段常数变元的中立型时滞微分方程的振动定理林诗仲俞元洪(海南师范学院,海口571158)(中国科学院应用数学研究所,北京100080)1引言含分段常数变元的微分方程的研究是从文[1]和[2]开始,这类方程既具有连续动力系统的结构,又具有离散变元的差... 相似文献
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A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state
space. It is a reasonable belief [Fe], [L], [FKW] that, at a fine scale, these are precisely the transformations which will be available from physics to solve computational
problems. The poly-locality of a discrete Fourier transform on cyclic groups is at the heart of Shor's factoring algorithm.
We describe a class of poly-local transformations, which include the discrete orthogonal wavelet transforms, in the hope that
these may be helpful in constructing new quantum algorithms. We also observe that even a rather mild violation of poly-locality
leads to a model without one-way functions, giving further evidence that poly-locality is an essential concept.
March 1, 2000. Final version received: October 23, 2001. 相似文献
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In this paper we investigate from both a theoretical and a practical point of view the following problem: Let s be a function from [0;1] to [0;1] . Under which conditions does there exist a continuous function f from [0;1] to R such that the regularity of f at x , measured in terms of H?lder exponent, is exactly s(x) , for all x ∈ [0;1] ?
We obtain a necessary and sufficient condition on s and give three constructions of the associated function f . We also examine some extensions regarding, for instance, the box or Tricot dimension or the multifractal spectrum. Finally,
we present a result on the ``size' of the set of functions with prescribed local regularity.
November 30, 1995. Date revised: September 30, 1996. 相似文献
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We show that for a broad class of interpolatory matrices on [-1,1] the sequence of polynomials induced by Hermite—Fejér interpolation to f(z)=z diverges everywhere in the complex plane outside the interval of interpolation [-1,1] . This result is in striking contrast to the behavior of the Lagrange interpolating polynomials.
June 15, 1998. Date accepted: January 26, 1999. 相似文献
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张涤新 《高校应用数学学报(A辑)》1996,(1):41-52
本文讨论了高维空间中非均匀核N.N.W估计的一致强收敛强度。在密度数的条件与[1,2]相同时,得到了比[1,2]更好的收敛速度,就其收敛的主要部分而言已无可改进。由于均匀核N.N.估计是非均匀核N.N.估计的特例,从而大大拓广了N.N.估计的理论价值和应用范围。 相似文献
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Bownik 《Constructive Approximation》2008,19(2):179-190
Abstract. We solve a problem posed by Daubechies [12] by showing the nonexistence of orthonormal wavelet bases with good time-frequency
localization associated with irrational dilation factors. 相似文献
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本文中,在拟一致空间中引入强局部对称性的概念,并讨论集值映射的拟一致收敛性.本文推广了[5]中的一些结果,同时用反例否定了[3]和[4]中的主要定理 相似文献
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苏育才 《中国科学A辑(英文版)》2003,46(3):346-354
A class of the associative and Lie algebras A[D] = A F[D] of Weyl type are studied, where A is a commutative associative algebra with an identity element over a field F of characteristic zero, and F[D] is the polynomial algebra of a finite dimensional commutative subalgebra of locally finite derivations of A such that A is D-simple. The derivations of these associative and Lie algebras are precisely determined. 相似文献