期刊文献+
共找到29篇文章
< 1 2 >
每页显示 20 50 100
Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces 被引量:3
1
作者 朴勇杰 《Northeastern Mathematical Journal》 CSCD 2005年第4期391-396,共6页
In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park (Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7(2000), 1-28) to obtain an a... In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park (Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7(2000), 1-28) to obtain an almost fixed point theorem for upper [resp., lower] semicontinuous multimaps in locally G-convex spaces, and then give a fixed point theorem for upper semicontinuous multimap with closed Γ-convex values. 展开更多
关键词 G-convex space upper [lower] semicontinuous locally G-convex space ahnost fixed point property ahnost Γ-convex
下载PDF
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS 被引量:1
2
作者 苑成军 文香丹 蒋达清 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期281-291,共11页
By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existen... By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existence and uniqueness of positive solution to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular. 展开更多
关键词 Mixed monotone operator fixed point theorem boundary value problems existence UNIQUENESS
下载PDF
On von Neumann Regularity of Commutators
3
作者 Nam Kyun Kim Tai Keun Kwak +2 位作者 Yang Lee Sung Ju Ryu Nanqing Ding 《Algebra Colloquium》 SCIE CSCD 2024年第2期181-198,共18页
We study the structure of rings which satisfy the von Neumann regularity of commutators,and call a ring R C-regularif ab-ba ∈(ab-ba)R(ab-ba)for all a,b in R.For a C-regular ring R,we prove J(R[X])=N^(*)(R[X])=N^(*)(R... We study the structure of rings which satisfy the von Neumann regularity of commutators,and call a ring R C-regularif ab-ba ∈(ab-ba)R(ab-ba)for all a,b in R.For a C-regular ring R,we prove J(R[X])=N^(*)(R[X])=N^(*)(R)[X]=W(R)[X]■Z(R[X]),where J(A),N^(*)(A),W(A),Z(A)are the Jacobson radical,upper nilradical,Wedderburn radical,and center of a given ring A,respectively,and A[X]denotes the polynomial ring with a set X of commuting indeterminates over A;we also prove that R is semiprime if and only if the right(left)singular ideal of R is zero.We provide methods to construct C-regular rings which are neither commutative nor von Neumann regular,from any given ring.Moreover,for a C-regular ring R,the following are proved to be equivalent:(i)R is Abelian;(ii)every prime factor ring of R is a duo domain;(ii)R is quasi-duo;and(iv)R/W(R)is reduced. 展开更多
关键词 C-regular ring COMMUTATOR regular ring commutative ring RADICAL singular ideal
原文传递
Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces 被引量:2
4
作者 PIAO Yong-Jie 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期349-355,共7页
Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maximai element and equilibrium point are discussed as ap... Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maximai element and equilibrium point are discussed as applications of above results. 展开更多
关键词 generalized convex space F-convex maximal element partially maximal element equilibrium point
下载PDF
On a Discrete Fractional Boundary Value Problem with Nonlocal Fractional Boundary Conditions 被引量:3
5
作者 HUANG Zhong-min XIE Zuo-shi HOU Cheng-min 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第4期539-552,共14页
In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green's function for this problem and show that it satisfies certain propertie... In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green's function for this problem and show that it satisfies certain properties. Some existence results are obtained by means of nonlinear alternative of Leray-Schauder type theorem and Krasnosel-skii's fixed point theorem. 展开更多
关键词 discrete fractional calculus green’s function nonlocal fractional boundary conditions existence of solution fixed point
下载PDF
Strong convergence theorems for nonexpansive semi-groups in Banach spaces 被引量:2
6
作者 张石生 杨莉 柳京爱 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第10期1287-1297,共11页
Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the co... Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of ShiojiTakahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu. 展开更多
关键词 nonexpansive semi-group demi-closed principle common fixed point uni-formly smooth Banach space weakly continuous normalized duality mapping
下载PDF
Coincidence Point Theorems,Intersection Theorems and Saddle Point Theorems on FC-spaces 被引量:1
7
作者 PIAO YONG-JIE YIN ZHE 《Communications in Mathematical Research》 CSCD 2009年第2期115-122,共8页
In this paper, we first give the definitions of finitely continuous topological space and FC-subspace generated by some set, and obtain coincidence point theorem, whole intersection theorems and Ky Fan type matching t... In this paper, we first give the definitions of finitely continuous topological space and FC-subspace generated by some set, and obtain coincidence point theorem, whole intersection theorems and Ky Fan type matching theorems, and finally discuss the existence of saddle point as an application of coincidence point theorem. 展开更多
关键词 FC-SPACE FC-subspace generated by set saddle point
下载PDF
Traveling Waves for 2-1 Dimension Lattice Difference Equations 被引量:1
8
作者 HE Yan-sheng HOU Cheng-min 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期214-223,共10页
A definition is introduced about traveling waves of 2-1 dimension lattice difference equations. Discrete heat equation is introduced and a discussion is given for the existence of traveling waves. The theory of travel... A definition is introduced about traveling waves of 2-1 dimension lattice difference equations. Discrete heat equation is introduced and a discussion is given for the existence of traveling waves. The theory of traveling waves is extended on 2-1 dimension lattice difference equations. As an application, an example is presented to illustrate the main results. 展开更多
关键词 traveling waves lattice difference equations discrete heat equation
下载PDF
Coincidence Points and Almost-like Coincidence Points on Generalized ConvexSpaces with Applications
9
作者 PIA O Yong-jie SHI Rcn-shu 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期364-370,共7页
We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applicat... We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applications of the above results, we derive almost fixed point theorems and fixed point theorem. These main results generalize and improve some known results in the literature. 展开更多
关键词 generalized convex spaces weakly G-quasiconvex map KKM map F-convex u.s.c. 1.s.c. almost fixed point
下载PDF
On a New Summability Result for Operator Matrices
10
作者 崔成日 文松龙 《Northeastern Mathematical Journal》 CSCD 2006年第2期173-180,共8页
For matrices of quasi-homogeneous operators we establish a summability result which is a useful complement of a recent summability result.
关键词 matrix transformation braked space uniform convergence principle
下载PDF
Primary User-Awareness-Based Energy-Efficient Duty-Cycle Scheme in Cognitive Radio Networks
11
作者 Zilong Jin Chengbo Zhang +3 位作者 Kan Yao Dun Cao Seokhoon Kim Yuanfeng Jin 《Computers, Materials & Continua》 SCIE EI 2022年第3期5991-6005,共15页
Cognitive radio devices can utilize the licensed channels in an opportunistic manner to solve the spectrum scarcity issue occurring in the unlicensed spectrum.However,these cognitive radio devices(secondary users)are ... Cognitive radio devices can utilize the licensed channels in an opportunistic manner to solve the spectrum scarcity issue occurring in the unlicensed spectrum.However,these cognitive radio devices(secondary users)are greatly affected by the original users(primary users)of licensed channels.Cognitive users have to adjust operation parameters frequently to adapt to the dynamic network environment,which causes extra energy consumption.Energy consumption can be reduced by predicting the future activity of primary users.However,the traditional prediction-based algorithms require large historical data to achieve a satisfying precision accuracy which will consume a lot of time and memory space.Moreover,many of these schemes lack methods to deal with the very busy network environments.In this paper,one semi-supervised learning algorithm,i.e.,tri-training,has been employed to investigate the prediction of primary activity.Based on the prediction results of tri-training,a duty-cycle mechanism and an intermediate node selection approach are proposed to improve the energy efficiency.Simulation results show the effectiveness of the proposed algorithm. 展开更多
关键词 Cognitive radio TRI-TRAINING duty-cycle intermediate node energy efficiency
下载PDF
Existence and Uniqueness for Backward Stochastic Differential Equation to Stopping Time
12
作者 Junjie Bai Haiyue Jin +2 位作者 Yicheng Hong Chol Gyu Pak Mun Chol Kim 《数学计算(中英文版)》 2017年第1期5-13,共9页
In this paper,we prove the existence and uniqueness for Backward Stochastic Differential Equations with stopping time as time horizon under the hypothesis that the generator is bounded.We first prove for the stopping ... In this paper,we prove the existence and uniqueness for Backward Stochastic Differential Equations with stopping time as time horizon under the hypothesis that the generator is bounded.We first prove for the stopping time with finite values and for the general stopping time we prove the result taking limit.We suggest a new approach to generalize the results for the case of constant time horizon to the case of stopping time horizon. 展开更多
关键词 BSDE(Backward Stochastic Differential Equation) Random TIME HORIZON STOPPING TIME
下载PDF
Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision
13
作者 Hongjie ZHANG Linan ZHONG Hao ZHAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2023年第1期35-48,共14页
In this paper, using the notion of subdivision, the authors generalize the definition of cofibration in digital topology and show that this kind of cofibration is injective in the sense of subdivision. Meanwhile, they... In this paper, using the notion of subdivision, the authors generalize the definition of cofibration in digital topology and show that this kind of cofibration is injective in the sense of subdivision. Meanwhile, they give the necessary condition under which a digital map is a cofibration. Furthermore, they consider the Lusternik-Schnirelmann category of digital maps in the sense of subdivision and give several fundamental homotopy properties about it. 展开更多
关键词 Digital topology Digital cofibration Lusternik-Schnirelmann category
原文传递
Remarks on Centers of Rings
14
作者 Juan Huang Hailan Jin +2 位作者 Tai Keun Kwak Yang Lee Zhelin Piao 《Algebra Colloquium》 SCIE CSCD 2021年第1期1-12,共12页
It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=BA.The n by n full matrix rings over right Noetherian domains are a... It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=BA.The n by n full matrix rings over right Noetherian domains are also shown to have this property.In this article we treat a ring property that is a generalization of this result,and a ring with such a property is said to be weakly reversible-over-center.The class of weakly reversible-over-center rings contains both full matrix rings over right Noetherian domains and upper triangular matrix rings over domains.The structure of various sorts of weakly reversible-over-center rings is studied in relation to the questions raised in the process naturally.We also consider the connection between the property of being weakly reversible-over-center and the related ring properties. 展开更多
关键词 weakly reversible-over-center ring CENTER commutative domain right Noetherian domain reduced ring full(upper)triangular matrix ring NI ring
原文传递
NUMERICAL ANALYSIS OF CRANK-NICOLSON SCHEME FOR THE ALLEN-CAHN EQUATION
15
作者 Qianqian Chu Guanghui Jin +1 位作者 Jihong Shen Yuanfeng Jin 《Journal of Computational Mathematics》 SCIE CSCD 2021年第5期655-665,共11页
We consider numerical methods to solve the Allen-Cahn equation using the second-order Crank-Nicolson scheme in time and the second-order central difference approach in space.The existence of the finite difference solu... We consider numerical methods to solve the Allen-Cahn equation using the second-order Crank-Nicolson scheme in time and the second-order central difference approach in space.The existence of the finite difference solution is proved with the help of Browder fixed point theorem.The difference scheme is showed to be unconditionally convergent in Loo norm by constructing an auxiliary Lipschitz continuous function.Based on this result,it is demonstrated that the difference scheme preserves the maximum principle without any restrictions on spatial step size and temporal step size.The numerical experiments also verify the reliability of the method. 展开更多
关键词 Allen-Cahn Equation Crank-Nicolson scheme Maximum principle CONVERGENCE
原文传递
A Nontrivial Homotopy Element of Order p2 Detected by the Classical Adams Spectral Sequence
16
作者 Hao ZHAO Linan ZHONG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第1期1-8,共8页
Let p be an odd prime.The authors detect a nontrivial element p of order p^2 in the stable homotopy groups of spheres by the classical Adams spectral sequence.It is represented by a_0^(p-2)h_1 ∈ Ext_A^(p-1,pq+p-2)(... Let p be an odd prime.The authors detect a nontrivial element p of order p^2 in the stable homotopy groups of spheres by the classical Adams spectral sequence.It is represented by a_0^(p-2)h_1 ∈ Ext_A^(p-1,pq+p-2)(Z/p,Z/p) in the E_2-term of the ASS and meanwhile p · p is the first periodic element αp. 展开更多
关键词 Stable homotopy groups of sphere Adams spectral sequence May spectral sequence Massey product
原文传递
Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras
17
作者 Li Nan ZHONG Hao ZHAO Wen Huai SHEN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第10期1611-1625,共15页
Let p be an odd prime and q = 2(p- 1). Up to total degree t - s 〈 max((5p^3 + 6p^2 +6p +4)q- 10,p^4q}, the generators of H^s,t(U(L)), the cohomology of the universal enveloping algebra of a bigraded Lie a... Let p be an odd prime and q = 2(p- 1). Up to total degree t - s 〈 max((5p^3 + 6p^2 +6p +4)q- 10,p^4q}, the generators of H^s,t(U(L)), the cohomology of the universal enveloping algebra of a bigraded Lie algebra L, are determined and their convergence is also verified. Furthermore our results reveal that this cohomology satisfies an analogous Poindare duality property. This largely generalizes an earlier classical results due to J. P. May. 展开更多
关键词 Steenrod algebra Hopf algebra Lie algebra spectral sequence stable homotopy groups of sphere
原文传递
Homotopy Exponents of Stiefel Manifolds in the Stable Range
18
作者 Hao ZHAO Li Nan ZHONG Wen Huai SHEN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第9期1080-1088,共9页
Let p be an odd prime. For the Stiefel manifold Wm+k,k = SU(m + k)/SU(m), we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ (p - 1)2 + 1.
关键词 Stiefel manifold homotopy exponent H-SPACE
原文传递
Some Secondary Differentials on the Fourth Line of the Adams Spectral Sequence
19
作者 Li Nan ZHONG Jian Guo HONG Hao ZHAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2021年第6期957-970,共14页
In this paper,we determine some nontrivial secondary Adams differentials on the fourth line Ext^(4,*)_A(Z/p,Z/p)of the classical Adams spectral sequence.Specially,among these differentials,two of them are obtained via... In this paper,we determine some nontrivial secondary Adams differentials on the fourth line Ext^(4,*)_A(Z/p,Z/p)of the classical Adams spectral sequence.Specially,among these differentials,two of them are obtained via the matrix Massey products. 展开更多
关键词 Stable homotopy groups of spheres Adams spectral sequence May spectral sequence matrix Massey product
原文传递
Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres
20
作者 Linan ZHONG Jianguo HONG Hao ZHAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第3期459-472,共14页
In this paper,the authors introduce a new effective method to compute the generators of the E-term of the May spectral sequence.This helps them to obtain four families of non-trivial product elements in the stable hom... In this paper,the authors introduce a new effective method to compute the generators of the E-term of the May spectral sequence.This helps them to obtain four families of non-trivial product elements in the stable homotopy groups of spheres. 展开更多
关键词 Stable homotopy groups of spheres Adams spectral sequence May spectral sequence
原文传递
上一页 1 2 下一页 到第
使用帮助 返回顶部