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关于“广义Liénard方程的周期解”一文的注记 总被引:2,自引:1,他引:1
本文研究广义Liénard方程x+f(x,x)x+g(x)=0的周期解的存在性,所得结果不仅较大地改进了文[1]的定理而且还指出了文[1]中的错误。 相似文献
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线性方程组反问题的推广 总被引:4,自引:0,他引:4
线性方程组反问题的推广王卿文(山东昌潍师专数学系261043)自文[1]提出线性方程组Ax=b的反问题以来,此反问题即成为人们研究的热门课题之一,文[1—7]分别给出了其正定对称矩阵解与对称矩阵解的某些解法及解集合的结构.最近,文[8]又提出了线性方... 相似文献
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本文讨论了较一般的非线性微分方程组零解的渐近稳定性,推广了文[1]及文[2]的证明方法和其中的一些结果.特别是去掉了Liapunov函数具有无穷小上界的条件。最后举例说明作者所得的新结果有效且优于前人的有关结果. 相似文献
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中立型时滞微分方程的振动性 总被引:14,自引:1,他引:14
本文讨论一类一阶中立型时滞微分方程的振动性,建立了此类方程一切解振动的几族充分条件,作为其推论的结果改进了文[1],[2],[3]的相应定理。 相似文献
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在不涉及紧型条件和耗散型条件的情形下,证明了Banach空间中含间断项的非线性积分、微分方程极解的存在性,推广了文[1]、[2]和[3]中的结果. 相似文献
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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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Lienard型系统的定性行为 总被引:4,自引:0,他引:4
孙继涛 《数学物理学报(A辑)》1994,14(1):90-95
该文研究了非线性系统的定性行为,得到了方程(E)的解总归一致有界的充要条件和存在周期解的充分条件,推广和改进了文[1-5]及[10]的工作. 相似文献
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In this paper we extends the results in [1],[2],[3] and [4] to bounded linear operators in Banach spaces using matrix expression of a partitioned operator. For existence of the limit lim λ→0 (λI + GA)~(-1) G and lim λ→0 G(λI + AG)~(-1) it is necessary and sufficient condition that bounded linear operators A~((2))_(T,S) exist in Banach spaces. We get the integral representation:
A(2)_(T,S)=∫∞0 exp(-GAt)Gdt. 相似文献
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Hironao Koshimizu 《Central European Journal of Mathematics》2011,9(1):139-146
We characterize finite codimensional linear isometries on two spaces, C
(n)[0; 1] and Lip [0; 1], where C
(n)[0; 1] is the Banach space of n-times continuously differentiable functions on [0; 1] and Lip [0; 1] is the Banach space of
Lipschitz continuous functions on [0; 1]. We will see they are exactly surjective isometries. Also, we show that C
(n)[0; 1] and Lip [0; 1] admit neither isometric shifts nor backward shifts. 相似文献
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Pier Mario Gandini 《Archiv der Mathematik》1996,67(3):211-216
Summary Via porosity a well-known theorem of Banach on bounded real valued continuous functions defined on [0, 1] is extended to higher dimensions. Summary. Via porosity a well-known theorem of Banach on bounded real valued continuous functions defined on [0, 1] is extended to higher dimensions. 相似文献
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Jinhai Chen Ioannis K. Argyros 《Journal of Computational and Applied Mathematics》2010,234(5):1473-1484
The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in [1], [2] and [12]. Recently, interest has been shown in such methods [3] and [4]. 相似文献
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In general, Banach space-valued Riemann integrable functions defined on [0, 1] (equipped with the Lebesgue measure) need not be weakly continuous almost everywhere. A Banach space is said to have the weak Lebesgue property if every Riemann integrable function taking values in it is weakly continuous almost everywhere. In this paper we discuss this property for the Banach space LX^1 of all Bochner integrable functions from [0, 1] to the Banach space X. We show that LX^1 has the weak Lebesgue property whenever X has the Radon-Nikodym property and X* is separable. This generalizes the result by Chonghu Wang and Kang Wan [Rocky Mountain J. Math., 31(2), 697-703 (2001)] that L^1[0, 1] has the weak Lebesgue property. 相似文献
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Y. Gordon 《Israel Journal of Mathematics》1973,14(1):50-62
We discuss various asymmetry constants of finite-dimensional Banach spaces in a more generalized frame than that of [2], and
solve a problem raised in [7] by finding an increasing sequence of Banach spaces whose diagonal asymmetry constants tend to
infinity. We investigate the question of whether the projection constant of everyn-dimensional Banach space is strictly less than
, and show that this is so whenn=2.
The research for this paper was partially supported by NSF-GP-34193. 相似文献
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《Quaestiones Mathematicae》2013,36(1-3):141-154
Abstract We extend to arbitrary semi-prime Banach algebras some results of spectral theory and Fredholm theory obtained in [1] and [2] for multipliers defined in commutative semi-simple Banach algebras. 相似文献
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This article studies some convergence results for the McShane integral of func- tions mapping the interval[0,1]into a Banach space X from the point of view of an open problem propose by D.H.Fremlin and J.Mendoza in[2].also the anthors give a negative answer to this open problem. 相似文献