共查询到19条相似文献,搜索用时 78 毫秒
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一类具有准齐次核的涉及多个函数的Hilbert型积分不等式 总被引:2,自引:1,他引:1
引入准齐次多元函数新概念,研究了具有准齐次核的涉及多个函数的Hilbert型积分不等式,并讨论了最佳常数问题. 相似文献
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准凸映照齐次展开式的精细估计 总被引:1,自引:0,他引:1
本文给出C~n中单位多圆柱上和复Banach空间中单位球上的准凸映照(含A型准凸映照和B型准凸映照)f齐次展开式的精细估计,其中x=0是f(x)-x的k 1阶零点.同时,还讨论了复Banach空间单位球上准凸映照的构造,它为准凸映照齐次展开式的精细估计提供极值映照. 相似文献
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文章给出利用齐次化原理求解n阶常系数非齐次线性方程初值问题的方法.通过基本问题可得到原方程的解,避免了利用常数变易法求解的诸多不便,同时也将非齐次项的形式拓展到了所有可积函数. 相似文献
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齐次和拟齐次生产函数作为经典的生产函数模型,在经济分析中具有广泛的应用.从几何学的角度研究齐次和拟齐次生产函数的分类具有重要理论意义和应用价值.该研究利用几何不变量方法,完全分类了拟齐次生产函数所对应的平坦拟齐次生产曲面,并且也给出了极小拟齐次生产曲面的完整分类. 相似文献
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Umar Hayat 《代数通讯》2013,41(3):1275-1279
We give a necessary and sufficient condition for the canonical divisor to vanish on a quasi-homogeneous affine algebraic variety. 相似文献
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A version of Orlicz-Pettis Theorem is established for multiplier convergent series and quasi-homogeneous operator. Applications to spaces of quasi-homogeneous operators are given. 相似文献
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We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. 相似文献
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A. Algaba 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(5):1318-1327
We characterize, in terms of the conservative-dissipative decomposition of a vector field, the two-dimensional quasi-homogeneous polynomial differential systems which have a rational first integral. We obtain the Kowalevskaya exponents of these vector fields and relate the rational integrability of these fields to their Kowalevskaya exponents. 相似文献
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In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers. We find polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers. 相似文献
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This paper uses tools in quasi-homogeneous normal form theory to discuss certain aspects of reversible vector fields around an equilibrium point. Our main result provides an algorithm, via Lie Triangle, that detects the non-reversibility of vector fields. That is, it is possible to decide whether a planar center is not reversible. Some of the theory developed is also applied to get further results on nilpotent and degenerate polynomial vector fields. We find several families of nilpotent centers which are non-reversible. 相似文献
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利用权函数方法, 讨论拟齐次核Hilbert型重积分不等式的最佳搭配参数,得到最佳搭配参数的若干等价条件及不等式最佳常数因子的表达公式. 最后讨论其在奇异积分算子理论中的应用. 相似文献
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David Marín 《Bulletin of the Brazilian Mathematical Society》2005,36(2):177-185
In this note, we recall the different notions of quasi-homogeneity for singular germs of holomorphic foliations in the plane
presented in [6]. The classical notion of quasi-homogenity allude to those functions which belong to its own jacobian ideal.
Given a foliation in the plane, asking that the equation of the separatrix set is a classical quasi-homogeneous function we
obtain a natural generalization in the context of foliations. On the other hand, topological quasi-homogeneity is characterized
by the fact that every topologically trivial deformation whose sepatrix family is analytically trivial is an analytically
trivial deformation. We give an explicit example of a topological quasi-homogeneous foliation which is not quasi-homogeneous
in the sense given above.
相似文献