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991.
Xi Cheng ZHANG Department of Mathematics Huazhong University of Science Technology Wuhan P.R.China 《应用数学学报(英文版)》2004,(4)
In this paper we prove a quasi-sure limit theorem of parabolic stochastic partial differentialequations with smooth coefficients and some initial conditions,by the way,we obtain the quasi-surecontinuity of the solution. 相似文献
992.
L. E. Payne G. A. Philippin S. Vernier‐Piro 《Mathematical Methods in the Applied Sciences》2006,29(3):281-295
This paper deals with a class of semilinear parabolic problems. In particular, we establish conditions on the data sufficient to guarantee blow up of solution at some finite time, as well as conditions which will insure that the solution exists for all time with exponential decay of the solution and its spatial derivatives. In the case of global existence, we also investigate the continuous dependence of the solution with respect to some data of the problem. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
993.
Generalization for Amann's and Leggett-Williams' three-solution theorems and applications 总被引:1,自引:0,他引:1
In this paper, some new three-solution theorems are obtained. Moreover, the famous Amann's and Leggett-Williams' three-solution theorems in nonlinear functional analysis can be seen as their special cases, namely these two famous theorems are united. So they are both improved. And that some new three-solution theorems are applied to ordinary differential equations, and some new existence results are obtained. 相似文献
994.
In this article, the authors study a generalized modulus of convexity, δ(α)(∈).Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ∈, 0 ≤∈≤1, such that δ(α)(1 ∈) > (1 - α)∈. 相似文献
995.
996.
In this paper, we study the order structure—supercontinuous poset, a generalization of completely distributive lattice. The Cartesian product of supercontinuous posets and some other properties of supercontinuous posets are investigated. Also, the case of superalgebraic posets are studied and some remarks on the category of supercontinuous posets are given. 相似文献
997.
998.
CONSTRUCTING UNIFORM DESIGNS WITH TWO- OR THREE-LEVEL 总被引:1,自引:0,他引:1
When the number of runs is large, to search for uniform designs in the sense of low-discrepancy is an NP hard problem. The number of runs of most of the available uniform designs is small (≤50). In this article, the authors employ a kind of the so-called Hamming distance method to construct uniform designs with two- or three-level such that some resulting uniform designs have a large number of runs. Several infinite classes for the existence of uniform designs with the same Hamming distances between any distinct rows are also obtained simultaneously. Two measures of uniformity, the centered L2-discrepancy (CD, for short) and wrap-around L2-discrepancy (WD, for short), are employed. 相似文献
999.
A natural structure modelling approximation is presented and the resulting category is shown to be equivalent with the category of complete nearness frames. 相似文献
1000.
Yuanqu Lin 《中国科学A辑(英文版)》1997,40(7):707-713
The uniform boundedness and existence of a global periodic attractor for a third-order phase-locked loop with general phase
detector characteristics and frequency modulation input is proved under some parametric conditions.
Project supported by the National Natural Science Foundation of China. 相似文献