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1.
A two-dimension discrete neural network model with multi-delays is obtained using Euler method. Furthermore, the linear stability of the model is studied. It is found that there exists Hopf bifurcations when the delay passes a sequence of critical values. Using the normal form method and the center manifold theorem, the explicit formulas which determine the direction of the Hopf bifurcations and the stability of bifurcating periodic solutions are derived. Finally, computer simulations are performed to support the theoretical predictions.  相似文献
2.
NONLINEAR PSEUDOPARABOLIC EQUATIONS IN ARBITRARY DIMENSIONS   总被引:2,自引:0,他引:2  
1.IntroductionAsiswellknownthenonlinearpseudoparabolicequationsweresuggestedandstudiedinconnectionwithmanypracticalproblemsatthebeginningofthe1970s.AmongthemtheBBMequationat box~abet~0(1'1)isthemostimportant,itwassuggestedinconnectionwiththepropagationoflongwavesinnonlineardispersivesystemsbyT.B.Benjaminetallljin1972.In1977,L.A.Medeirosetall2]studiedtheweaksolutionoftheinitialboundaryvalueproblemforageneralizedformof(1.1)RevisedJanuary,25,1995.*ThisworkissupportedbytheNationalScienceFOun…  相似文献
3.
We study a nonlinear periodic problem driven by the p(t)-Laplacian and having a nonsmooth potential (hemivariational inequalities). Using a variational method based on nonsmooth critical point theory for locally Lipschitz functions, we first prove the existence of at least two nontrivial solutions under the generalized subquadratic and then establish the existence of at least one nontrivial solution under the generalized superquadratic.  相似文献
4.
企业经营敏捷性的评价指标体系和模糊综合评价   总被引:1,自引:0,他引:1  
郭立国 《经济数学》2010,27(3):98-104
企业经营敏捷性由一系列指标来体现.4个一级指标分别是市场反应程度、企业组织桑性、企业管理适应性与企业文化创新性、企业经营业绩.4个一级指标又包含19个二级指标.运用模糊综合评价方法,构建了企业经营敏捷性的评价模型.依托实际案例,使用所建立的评价指标体系和评价模型,对实例企业进行了模糊综合评价,根据评价结果判断企业是否具备经营敏捷性.  相似文献
5.
一类具时滞的神经网络模型的Hopf分支   总被引:1,自引:0,他引:1  
本文研究了一类由两个神经元构成的具时滞的神经网络模型的动力学性质,即利用指数多项式的D-划分法讨论了平衡点的稳定性和局部Hopf分支的存在性,然后利用规范型和中心流形理论给出了分支性质的计算公式,又用度理论研究了周期解的全局存在性.  相似文献
6.
In this paper, continuity of the set-valued metric generalized inverse TT in approximatively compact Banach spaces is investigated by means of the methods of geometry of Banach spaces. Necessary and sufficient conditions for upper semicontinuity (continuity) for the set-valued metric generalized inverses TT are given. Moreover, authors also prove that if X is a nearly dentable space and H is a hyperplane of X, then H   is approximatively compact iff PH(x)PH(x) is compact for any x∈XxX.  相似文献
7.
In this paper, criteria for uniform nonsquareness and locally uniform nonsquareness of Orlicz–Bochner function spaces equipped with the Orlicz norm are given. Although, criteria for uniform nonsquareness and locally uniform nonsquareness in Orlicz function spaces were known, we can easily deduce them from our main results. Moreover, we give a sufficient condition for an Orlicz–Bochner function space to have the fixed point property.  相似文献
8.
The m-th order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion onto the subspace spanned by polynomials of degree up to m. We obtain the Karhunen-Loeve expansion for the process and establish a connection with the generalized (m-th order) Brownian bridge developed by MacNeill (1978) in the study of distributions of polynomial regression. The resulting distribution identity is also verified by a stochastic Fubini approach. As applications, large and small deviation asymptotic behaviors for the L 2 norm are given.  相似文献
9.
The purpose of this paper is to present a generalized hesitant fuzzy synergetic weighted distance (GHFSWD) measure, which is based on the generalized hesitant fuzzy weighted distance (GHFWD) measure and the generalized hesitant fuzzy ordered weighted distance (GHFOWD) measure proposed by Xu and Xia [Z. Xu, M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inf. Sci. 181 (2011) 2128–2138.], and investigate its some desirable properties and special cases. The GHFSWD measure not only generalizes both the GHFWD and GHFOWD measures as well as the common hesitant fuzzy distance measures, but also reflects the importance degrees of both the given individual distances and their ordered positions. Then, based on the defined notions of positive ideal hesitant fuzzy set and negative ideal hesitant fuzzy set, we utilize the proposed GHFSWD measure to develop a method for multiple criteria decision making with hesitant fuzzy information. The method is flexible because it allows decision makers to provide preference with hesitancy and determine different decision results by choosing different decision strategies. Finally, a numerical example is provided to illustrate the feasibility and practicality of the proposed method.  相似文献
10.
In this paper we consider the differential inclusion problem in ${\mathbb{R}^N}$ involving the p(x)-Laplacian of the type $$ -\triangle_{p(x)} u+V(x)|u|^{p(x)-2}u\in \partial F(x,u)\,\,\,{\rm in}\, \mathbb{R}^N. $$ The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, based on the Weirstrass Theorem and Mountain Pass Theorem, we get there exist at least two nontrivial solutions. We also establish a Bartsch–Wang type compact embedding theorem for variable exponent spaces.  相似文献
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