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101.
三阶奇摄动非线性边值问题 总被引:17,自引:0,他引:17
利用微分不等式理论,研究了某一类三阶奇摄动非线性边值问题。以二阶边值问题的已知结果为基础,引入Volterra型积分算子,建立了三阶非线性边值问题的上下解方法。在适当条件下,构造出具体的上下解,得出解的存在性和渐进估计。结果表明这种技巧也为三阶奇摄动边值问题的研究提出了崭新的思路。最后举例验证文中定理的正确性。 相似文献
102.
103.
We give a geometrical proof of a Muhometov type inequality, for a single Riemannian metric defined on a closed disc in the plane. We mainly study the case of equality which is achieved if and only if the distance between points on the boundary is invariant under rotation along the boundary. We show that this implies that the metric itself must be invariant under rotation, at least when the metric is analytic or of nonpositive curvature. 相似文献
104.
PAN ShengLiang 《中国科学A辑(英文版)》2008,(6)
This paper deals with the following isoperimetric problem in the plane:Among all regions with prescribed perimeter and covering a given line segment,what is the region that has the greatest area? 相似文献
105.
研究保费收取过程是一个随机过程的双险种风险模型,得出了Lundberg上界、最终破产概率、不破产所满足的微积分方程、索赔服从指数分布的不破产概率、有限时间不破产所满足的微积分方程. 相似文献
106.
A MCSCF-method for minimization of the variance yielding an optimal basisset of variance minimizing orbitals in analogy to Löwdin's natural orbitals for minimal energy is developed. 相似文献
107.
Scalarization of vector optimization problems 总被引:5,自引:0,他引:5
D. T. Luc 《Journal of Optimization Theory and Applications》1987,55(1):85-102
In this paper, we investigate the scalar representation of vector optimization problems in close connection with monotonic functions. We show that it is possible to construct linear, convex, and quasiconvex representations for linear, convex, and quasiconvex vector problems, respectively. Moreover, for finding all the optimal solutions of a vector problem, it suffices to solve certain scalar representations only. The question of the continuous dependence of the solution set upon the initial vector problems and monotonic functions is also discussed.The author is grateful to the two referees for many valuable comments and suggestions which led to major imporvements of the paper. 相似文献
108.
A new method for estimating bounds of eigenvalues 总被引:1,自引:0,他引:1
A new method for estimating the bounds of eigenvalues is presented. In order to show that the method proposed is as effective
as Qiu's, an undamping spring-mass system with 5 nodes and 5 degrees of freedom is given. To illustrate that the present method
can be applied to structures which cannot be treated by non-negative decomposition, a plane frame with 202 nodes and 357 beam
elements is given. The results show that the present method is effective for estimating the bounds of eigenvalues and is more
common than Qiu's.
Project supported by the National Natural Science Foundation (No. 19872028) and the Mechanical Technology Development Foundation
of China. 相似文献
109.
We present a theory which allows us to justify the existence theorems and derive majorant estimates for solutions of the Cauchy problem for a countable system of partial differential equations. Our results also allow to estimate the maximum existence interval for a solution. 相似文献
110.
Pawiga Thaweephan Scott Meng Grigori Sigalov Hyun Koo Kim Sung Ho Choi Thein Kyu 《Journal of Polymer Science.Polymer Physics》2001,39(14):1605-1615
Miscibility phase behavior in blends of poly(bromostyrene) with polystyrene (PS) has been investigated by means of time‐resolved light scattering, optical microscopy, and DSC. Cloud point phase diagrams of blends of conventional PS with poly‐(2‐bromostyrene) (P2BrS), poly‐(3‐bromostyrene), and poly‐(4‐bromostyrene) of comparable molecular weights were established by light scattering. Of particular interest is the fact that ortho, meta, and para substitutions in the styrenic aromatic rings of poly(bromostyrene) show profound effects on the composition–temperature phase diagrams of their blends with PS, exhibiting a lower critical‐solution temperature (LCST), an upper critical solution temperature (UCST), and combined LCST/UCST diagrams, respectively. Poly‐(2‐chlorostyrene) exhibits an LCST behavior very close to that of the P2BrS blend, suggesting that these types of halogen atoms may be inconsequential to phase behavior. A similar study has been extended to a PS blend containing commercial brominated PS (66 mol % bromine substitution) to determine what location of bromine substitution is crucial for miscibility enhancement in the flame‐retardant brominated PS blends. © 2001 John Wiley & Sons, Inc. J Polym Sci Part B: Polym Phys 39: 1605–1615, 2001 相似文献