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961.
从牛顿运动方程出发,推导了完整系统关于广义加速度的Lagrange方程.讨论了该方程与传统分析力学中的Lagrange方程的相容性问题.结果显示,三阶Lagrange方程可以通过对Lagrange方程求一阶时间导数得到,表明它们是相容的.因此三阶Lagrange方程提供了一种不同于传统Lagrange方程方法的求解物体运动方程的途径. 相似文献
962.
在L_ω~p空间中引入了一种 K-泛函并由此建立了一种以第一类 Chebyshev多项式的零点为结点的三种修正高阶 Hermite-Fejer插值多项式及一种修正的高阶 Hermite插值多项式在L_ω~p空间中逼近的正逆定理. 文中的结果说明,对于这几种修正高阶多项式插值的逼近问题而言,正定理的解决意味着逆定理的解决. 相似文献
963.
Le Hai An Pham Xuan Du Duong Minh Duc Phan Van Tuoc 《Proceedings of the American Mathematical Society》2005,133(2):595-604
We prove a Lagrange multipliers theorem for a class of functions that are derivable along directions in a linear subspace of a Banach space where they are defined. Our result is available for topological linear vector spaces and is stronger than the classical one even for two-dimensional spaces, because we only require the differentiablity of functions at critical points. Applying these results we generalize the Lax-Milgram theorem. Some applications in variational inequalities and quasilinear elliptic equations are given.
964.
L. L. Maksimova 《Algebra and Logic》2005,44(6):407-421
We study into the interpolation property and the projective Beth property in extensions of Johansson's minimal logic. A family
of logics of some special form is considered. Effective criteria are specified which allow us to verify whether an arbitrary
logic in this family has a given property.
Supported by RFBR grant No. 03-06-80178, by the Council for Grants (under RF President) and State Aid of Fundamental Science
Schools, project NSh-2069.2003.1, and by INTAS grant No. 04-77-7080.
__________
Translated from Algebra i Logika, Vol. 44, No. 6, pp. 726–750, November–December, 2005. 相似文献
965.
966.
Xin Rong Ma 《数学学报(英文版)》2002,18(2):289-292
With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally
found a general pair of inverse relations, called the Krattenthaler forumlas. The present paper presents a very short proof
of this formula via Lagrange interpolation. Further, our method of proof declares that the Krattenthaler result is unique
in the light of Lagrange interpolation.
Received April 9, 1999, Accepted December 7, 2000 相似文献
967.
Benchmark and mean-variance problems for insurers 总被引:1,自引:0,他引:1
Nicole Bäuerle 《Mathematical Methods of Operations Research》2005,62(1):159-165
We consider the classical Cramér-Lundberg model with dynamic proportional reinsurance and solve the problem of finding the optimal reinsurance strategy which minimizes the expected quadratic distance of the risk reserve to a given benchmark. This result is extended to a mean-variance problem. 相似文献
968.
In this paper we extend in 3D a 2D Lagrange finite element technique proposed previously in Guermond and Minev (Mod. Math. Anal. Num. 2001) for solving the Maxwell equations in the low‐frequency limit in a domain composed of conducting and insulating regions. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 709–731, 2003. 相似文献
969.
970.
Alfredo Bermú dez Rodolfo Rodrí guez Pilar Salgado. 《Mathematics of Computation》2005,74(249):123-151
This paper deals with the finite element solution of the eddy current problem in a bounded conducting domain, crossed by an electric current and subject to boundary conditions appropriate from a physical point of view. Two different cases are considered depending on the boundary data: input current density flux or input current intensities. The analysis of the former is an intermediate step for the latter, which is more realistic in actual applications. Weak formulations in terms of the magnetic field are studied, the boundary conditions being imposed by means of appropriate Lagrange multipliers. The resulting mixed formulations are analyzed depending on the regularity of the boundary data. Finite element methods are introduced in each case and error estimates are proved. Finally, some numerical results to assess the effectiveness of the methods are reported.