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941.
In this paper, a new generalized compound Riccati equations rational expansion method (GCRERE) is proposed. Compared with most existing rational expansion methods and other sophisticated methods, the proposed method is not only recover some known solutions, but also find some new and general complexiton solutions. Being concise and straightforward, it is applied to the (2+1)-dimensional Burgers equation. As a result, eight families of new exact analytical solutions for this equation are found. The method can also be applied to other nonlinear partial differential equations. 相似文献
942.
文章给出了两个图的笛卡儿积及字典式的积为最大边连通的、最大连通的、super-λ,super-κ及hyper-κ的充分条件,同时证明了其中一些条件也是必要的.此外,对这两种积的局部割集和广义割集的性质也进行了考虑. 相似文献
943.
Shibo Liu 《Journal of Mathematical Analysis and Applications》2007,336(1):498-505
We obtain four nontrivial solutions for an elliptic resonant problem via Morse theory and Lyapunov-Schmidt reduction method. Our result improves some recent works. 相似文献
944.
945.
This paper is devoted to the existence of positive solutions of a Dirichlet problem with critical exponent and a singular potential. Under various assumption on the domain Ω, which include some kinds of unbounded domains, we prove the existence of ground states and of symmetric solutions. 相似文献
946.
M. Oberguggenberger D. Scarpalézos 《Journal of Mathematical Analysis and Applications》2007,328(2):1321-1335
The definitions of positivity and positive definiteness are extended to generalized function algebras in coherence with the corresponding notions for distributions. Versions of Bochner's theorem for a positive definite Colombeau generalized function are given. 相似文献
947.
本文证明了当k≥3,n≠2k,3k时,广义彼得森图GP(n,k)中的任意两条不邻接边都包含在GP(n,k)的1-因子中。 相似文献
948.
Error bounds for analytic systems and their applications 总被引:1,自引:0,他引:1
Using a 1958 result of Lojasiewicz, we establish an error bound for analytic systems consisting of equalities and inequalities defined by real analytic functions. In particular, we show that over any bounded region, the distance from any vectorx in the region to the solution set of an analytic system is bounded by a residual function, raised to a certain power, evaluated atx. For quadratic systems satisfying certain nonnegativity assumptions, we show that this exponent is equal to 1/2. We apply the error bounds to the Karush—Kuhn—Tucker system of a variational inequality, the affine variational inequality, the linear and nonlinear complementarity problem, and the 0–1 integer feasibility problem, and obtain new error bound results for these problems. The latter results extend previous work for polynomial systems and explain why a certain square-root term is needed in an error bound for the (monotone) linear complementarity problem.The research of this author is based on work supported by the Natural Sciences and Engineering Research Council of Canada under grant OPG0090391.The research of this author is based on work supported by the National Science Foundation under grants DDM-9104078 and CCR-9213739 and by the Office of Naval Research under grant 4116687-01. 相似文献
949.
950.
Claudia Timofte 《Annali dell'Universita di Ferrara》2007,53(2):437-448
This paper deals with the homogenization of a nonlinear model for heat conduction through the exterior of a domain containing
periodically distributed conductive grains. We assume that on the walls of the grains we have climatizators governing the
heat flux through the boundary. The effective behavior of this nonlinear flow is described by a new elliptic boundary-value
problem, containing an extra zero-order term which captures the effect of the boundary climatization.
相似文献