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991.
Technical Note Discontinuous Implicit Quasivariational Inequalities in Normed Spaces 总被引:1,自引:0,他引:1
In this paper, we consider an implicit quasivariational inequality without continuity assumptions in normed spaces. The main
result (Theorem 2.1) provides an infinite-dimensional version of Theorem 3.2 in Ref. 1. To achieve such a goal, we employ
Theorem 3.2 in Ref. 1 and the technique of Cubiotti in Ref. 2. In particular, Theorem 3.1 covers a recent result of Cubiotti
(Theorem 3.1 of Ref. 2) as a special case.
Communicated by F. Giannessi
This research was partially supported by the National Science Council of Taiwan, ROC. 相似文献
992.
Hongjun YUAN 《数学年刊B辑(英文版)》2007,28(4):475-498
The aim of this paper is to study the continuity of weak solutions for quasilinear degenerate parabolic equations of the form U_t-Δφ(u)=O, whereφ■C~1(R~1)is a strictly monotone increasing function.Clearly,the above equation has strong degeneracy,i.e.,the set of zero points ofφ′(·)is permitted to have zero measure. This is an answer to an open problem in[13,p.288]. 相似文献
993.
In this work, we introduce and study a class of generalized vector equilibrium problems for multifunctions which includes a number of generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. By using the KKM–Fan theorem and Nadler’s result, we prove an existence theorem for solutions for this class of generalized vector equilibrium problems in Banach spaces. Applications to generalized vector variational-like inequalities are given. 相似文献
994.
This paper is concerned with a cubic Kolmogorov system with a parabolicsolution which does not contact and intersect the coordinates. The conclusionis that such a system may possess limit cycles. 相似文献
995.
Some Remarks on the Minty Vector Variational Inequality 总被引:4,自引:0,他引:4
Yang X. M. Yang X. Q. Teo K. L. 《Journal of Optimization Theory and Applications》2004,121(1):193-201
In this paper, we establish some relations between a Minty vector variational inequality and a vector optimization problem under pseudoconvexity or pseudomonotonicity, respectively. Our results generalize those of Ref. 1. 相似文献
996.
Z. H. Liu 《Journal of Optimization Theory and Applications》2004,120(2):417-427
This paper is devoted to the existence of solutions for evolution hemivariational inequalities as generalizations of evolution variational inequalities to nonconvex functionals. The operators involved are taken to be multivalued and noncoercive. Using the notion of the generalized gradient of Clarke and the recession method, some existence results of solutions are proved. 相似文献
997.
The paper gives reliable methods for solving systems of equations and systems of inequalities by using a box valued function the so-called zone function. Beside theorems and drafts of computer programs, some numerical examples are also presented for illustration of the effectiveness of methods. 相似文献
998.
999.
1引言对于大型科学与工程计算问题,并行计算是必需的.构造高效率的数值并行方法一直是人们关心的问题,并且已有了大量的研究.在三层交替计算方法的研究中出现了许多既具有明显并行性又绝对稳定的差分格式(见[1]-[5]).在只涉及两个时间层的算法研究中,Dawson等人(见[6])首先发展了求解一维热传导方程的区域分解算法,并将其推广到 相似文献
1000.
Wolfram Koepf 《The Ramanujan Journal》2007,13(1-3):103-129
The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach
in 1916 [4]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function
which maps the unit disk onto a radially slit plane.
The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Louis de Branges in 1984 [5] when
some experts were rather trying to disprove it. It turned out that an inequality of Askey and Gasper [2] about certain hypergeometric
functions played a crucial role in de Branges’ proof.
In this article I describe the historical development of the conjecture and the main ideas that led to the proof. The proof
of Lenard Weinstein (1991) [72] follows, and it is shown how the two proofs are interrelated.
Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer
algebra come into the play, and computer demonstrations are given that show how important parts of the proofs can be automated.
This article is dedicated to Dick Askey on occasion of his seventieth birthday.
2000 Mathematics Subject Classification Primary—30C50, 30C35, 30C45, 30C80, 33C20, 33C45, 33F10, 68W30 相似文献