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971.
A functional differential equation admitting a complete guiding set always has an a priori bounded solution. The introduction of this concept and the idea of reducibility allow the authors to apply a well-known method for the autonomous case to a non-autonomous problem. A previous result of Ortega and Tineo is extended to a non-hyperbolic semilinear functional differential equation with almost-periodic coefficients in its lineal part. The non-hyperbolicity condition is established in terms of the Sacker-Sell spectrum of the associated linear system. 相似文献
972.
We give corrected statements of some theorems from [5] and [6] on joint value-distribution of Lerch zeta-functions (limit
theorems, universality, functional independence). We also present a new direct proof of a joint limit theorem in the space
of analytic functions and an extension of a joint universality theorem.
Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 3, pp. 332–350, July–September, 2006. 相似文献
973.
部分线性模型中的Edgeworth展开 总被引:8,自引:0,他引:8
本文在相当一般的条件下,首先给出了部分线性模型中有关参数β的标准化统计量的一阶Edgeworth展开,然后构造了误差方差的一个非残差型相合估计,最后给出了相应的学生化统计量的Edgeworth展开. 相似文献
974.
We obtain sufficient conditions for the set of roots of an entire function of order zero of strongly regular growth to possess an angular density. 相似文献
975.
Multiplicative programs are a difficult class of nonconvex programs that have received increasing attention because of their many applications. However, given their nonconvex nature, few theoretical results are available. In this paper, we study a particular case of these programs which involves the maximization of a quasiconcave function over a linear constraint set. Using results from conjugate function theory and generalized geometric programming, we derive a complete duality theory. The results are further specialized to linear multiplicative programming. 相似文献
976.
Todor D. Todorov 《Journal of Mathematical Analysis and Applications》2005,312(1):261-279
We define a type of generalized asymptotic series called v-asymptotic. We show that every function with moderate growth at infinity has a v-asymptotic expansion. We also describe the set of v-asymptotic series, where a given function with moderate growth has a unique v-asymptotic expansion. As an application to random matrix theory we calculate the coefficients and establish the uniqueness of the v-asymptotic expansion of an integral with a large parameter. As another application (with significance in the non-linear theory of generalized functions) we show that every Colombeau's generalized number has a v-asymptotic expansion. A similar result follows for Colombeau's generalized functions, in particular, for all Schwartz distributions. 相似文献
977.
Amnon Besser 《Journal of Number Theory》2005,111(2):318-371
We introduce the p-adic analogue of Arakelov intersection theory on arithmetic surfaces. The intersection pairing in an extension of the p-adic height pairing for divisors of degree 0 in the form described by Coleman and Gross. It also uses Coleman integration and is related to work of Colmez on p-adic Green functions. We introduce the p-adic version of a metrized line bundle and define the metric on the determinant of its cohomology in the style of Faltings. We also prove analogues of the Adjunction formula and the Riemann-Roch formula. 相似文献
978.
The authors investigate various inclusion and other properties of several subclasses of the class Ap of normalized p-valent analytic functions in the open unit disk, which are defined here by means of a certain linear operator. Problems involving generalized neighborhoods of analytic functions in the class Ap are investigated. Finally, some applications of fractional calculus operators are considered. 相似文献
979.
完美非线性映射的一类构造 总被引:2,自引:2,他引:0
丘维敦 《数学的实践与认识》2004,34(7):118-121
在分组密码中 ,为了抗差分攻击 ,需要完美非线性映射 .利用有限域 Zp上的广义 Bent函数和不可约多项式 ,给出了完美非线性映射的一类构造 . 相似文献
980.
Paul W. Ayers 《Journal of Chemical Sciences》2005,117(5):441-454
The electron localization measure proposed by Becke and Edgecombe is shown to be related to the covariance of the electron
pair distribution. Just as with the electron localization function, the local covariance does not seem to be, in and of itself,
a useful quantity for elucidating shell structure. A function of the local covariance, however, is useful for this purpose.
A different function, based on the hyperbolic tangent, is proposed to elucidate the shell structure encapsulated by the local
covariance; this function also seems to work better for the electron localization measure of Becke and Edgecombe. In addition,
we propose a different measure for the electron localization that incorporates both the electron localization measure of Becke
and Edgecombe and the Laplacian of the electron density; preliminary indications are that this measure is especially good
at elucidating the shell structure in valence regions. Methods for evaluating electron localization functions directly from
the electron density, without recourse to the Kohn-Sham orbitals, are discussed. 相似文献