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971.
本文利用一个已知的变换公式及其它基本超几何函数的求和公式,给出了一类q级数恒等式的新的更简单的证明,并建立了该类恒等式的一般形式. 相似文献
972.
Kostas P. Soldatos 《Journal of the mechanics and physics of solids》2004,52(2):341-357
This paper develops complex potential formalisms for the solution of the bending problem of inhomogenoeus anisotropic plates, on the basis of the most commonly used refined plate theories. Being an initial step in that direction, it works out such formalisms only in connection with the bending problem of shear deformable homogeneous plates as well as plates having a special type of inhomogeneity along their thickness direction. The adopted type of inhomogeneity is however still general enough to include certain classes of plates made of functionally graded material as well as the classes of cross- and angle-ply symmetric laminates as particular cases. The basic formalism, similar to that developed by Stroh in plane strain elasticity, is detailed in relation with the equilibrium equations of a generalized plate theory that accounts for the effects of transverse shear deformation and includes conventional, refined theories as particular cases. Some interesting specializations, related to the most important of those conventional plate theories, are then presented and discussed separately. Hence, the outlined formalisms provide, for the first time in analytical form, the general solution of the partial differential equations associated with the most commonly used refined, elastic plate theories. 相似文献
973.
双函数法及一类非线性发展方程的精确行波解 总被引:5,自引:0,他引:5
给出一种求解非线性发展方程精确行波解的新方法:双函数法。使用此方法,获得了一类非线性发展方程的许多精确行波解,其中包括孤波解和周期解,推广了文献用其它方法取得的结果,同时还获得了许多新的弧波解和周期解,借助于Mathemat-ica,此方法能部分地在计算机上实现。 相似文献
974.
975.
The translation operator and the convolution for the finite Legendre transformation are investigated in the space ??(?1,1) of testing-functions and its dual through an approach that emphasizes the close similarity existing between this transform and the infinite Mehler - Fock transformation. The theory developed is used in solving some distributional boundary-value problems. 相似文献
976.
代数微分方程组的亚纯解 总被引:5,自引:4,他引:1
在本文里,利用亚纯函数的Nevanlinna的值分布理论,我们讨论了两类代数微分方程组的亚纯解的存在性问题,得到个更为精确的 结果。 相似文献
977.
Vladimir Varlamov 《Journal of Mathematical Analysis and Applications》2005,306(2):413-424
A convolution of Rayleigh functions with respect to the Bessel index can be treated as a special function in its own right. It appears in constructing global-in-time solutions for some semilinear evolution equations in circular domains and may control the smoothing effect due to nonlinearity. An explicit representation for it is derived which involves the special function ψ(x) (the logarithmic derivative of the Γ-function). The properties of the convolution in question are established. Asymptotic expansions for small and large values of the argument are obtained and the graph is presented. 相似文献
978.
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
979.
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
980.
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