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101.
主要论述n次单位根在一些组合数求和、多项式的整除、因式分解中的应用,说明了n次单位根法可拓宽解题思路,是一种方便、快捷的数学解题方法. 相似文献
102.
A three-dimensional, explicit and exact, equilibrium solution is derived for transversely isotropic, linearly elastic bodies
in the form of a right cylinder simply supported over its lateral boundary and loaded over its end faces. This solution, which
generalizes an earlier proposal of Levinson in various respects, is to serve as a benchmark for the corresponding plate theories.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
103.
A model representing a coupling between a heat conducting medium and a solid structure is considered. We establish a Carleman
inequality for this model. Next we deduce a null controllability result with an internal control in the conducting medium
and there is no control in the solid part. 相似文献
104.
A successive quadratic programming algorithm with global and superlinear convergence properties 总被引:6,自引:0,他引:6
Masao Fukushima 《Mathematical Programming》1986,35(3):253-264
This paper presents a successive quadratic programming algorithm for solving general nonlinear programming problems. In order to avoid the Maratos effect, direction-finding subproblems are derived by modifying the second-order approximations to both objective and constraint functions of the problem. We prove that the algorithm possesses global and superlinear convergence properties.This work was supported in part by a Scientific Research Grant-in-Aid from the Ministry of Education, Science and Culture, Japan. 相似文献
105.
A new series representation of the exact distribution of Hotelling's generalized T02 statistic is obtained. Unlike earlier work, the series representation given here is everywhere convergent. Explicit formulae are given for both the null and the non-central distributions. Earlier results by [1], 215–225), which are convergent on the interval [0, 1), are also derived quite simply from our formulae. The paper therefore provides a solution to the long standing problem of the exact distribution of the T02 statistic in the general case. 相似文献
106.
SHEN Shou-Feng ZHANG Jun YE Cai-Er PAN Zu-Liang 《理论物理通讯》2005,44(4):604-608
In this letter, abundant families of Jacobi elliptic function envelope solutions of the N-coupled nonlinear Schroedinger (NLS) system are obtained directly. When the modulus m → 1, those periodic solutions degenerate as the corresponding envelope soliton solutions, envelope shock wave solutions. Especially, for the 3-coupled NLS system, five types of Jacobi elliptic function envelope solutions are illustrated both analytically and graphically. Two types of those degenerate as envelope soliton solutions. 相似文献
107.
Methodology and Computing in Applied Probability - Consider a problem of estimation of a cumulative distribution function of a random variable supported on a finite interval, with a circular random... 相似文献
108.
In this paper,we present a solution methodology to obtain exact solutions of some nonlinear evolution equation by modifying the homogeneous balance method.Based on the modified homogeneous balance method,several kinds of exact(new)solutions of the generalized KdV equation are obtained. 相似文献
109.
Corina Fetecau M. Jamil Constantin Fetecau I. Siddique 《International Journal of Non》2009,44(10):854-1090
New exact solutions corresponding to the second problem of Stokes for Maxwell fluids have been established by means of Laplace transforms. For large times, these solutions reduce to the well-known steady-state solutions which are periodic in time and independent of the initial conditions. Furthermore, the transient solutions are in accordance with the previous solutions obtained using the Fourier sine transform. The required time to get the steady-state is determined by graphical illustrations. This time decreases if the frequency of the velocity increases. The effects of the material parameters on the decay of the transients in time are also investigated by graphs. 相似文献
110.
Zoltán Varga 《Periodica Mathematica Hungarica》2008,56(1):157-168
This paper is a review of recent developments of a research line proposed on the turn of the decades, 1980s to 1990s. The
main results concern basic qualitative properties of nonlinear models of population biology, such as controllability and observability.
The methods applied are different for the density-dependent models of population ecology and for the frequency-dependent models
of population genetics and evolutionary theory. While in the first case the classical theorems of nonlinear systems theory
can be used, in the second one an extension of classical results to systems with invariant manifold is necessary.
Supported by the Hungarian NFSR (OTKA K 62000, K 68187). 相似文献