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STABILITY OF IMPULSIVE CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS
Lijuan Zhang,Lixin Yu 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.5
This paper demonstrates that there is a unique exponentially stable equilibrium state of a class of impulsive cellular neural network with delays. The analysis exploits M-matrix theory and generalized comparison principle to derive some easily verifiable suffcient conditions for the global exponential stability of the equilibrium state. The results extend and improve earlier publications. An example with its simulation is given for illustration of theoretical results.
Prevalence of Depression in Ankylosing Spondylitis: A Systematic Review and Meta-Analysis
Lijuan Zhang,Yaping Wu,Shiguang Liu,Weiyi Zhu 대한신경정신의학회 2019 PSYCHIATRY INVESTIGATION Vol.16 No.8
The aim of this study was to provide a summary estimate of depression prevalence among people with ankylosing spondylitis (AS) in comparison to those without AS. A systematic literature search was conducted using PubMed, Embase, PsycINFO, Web of Science, the Cochrane database library, China National Knowledge Infrastructure, and Wanfang Database from their inception to December 2016. The results showed that thirty-one eligible studies involving 8,106 patients were analyzed. Fifteen methods of defining depression were reported. The overall pooled prevalence of depression was 35% (95% CI, 28–43%), with high between-study heterogeneity (I2=98.8%, p<0.001). The relative risk of depression among people with AS was 1.76 (95% CI: 1.21–2.55, eight studies, n=3,006) compared with people without AS. The depression score [standardized mean difference (SMD)=0.43, 95% CI: 0.19–0.67, seven studies, n=549] was higher in AS patients than in controls. The main influence on depression prevalence was the sample size and country of origin. In conclusion, one-third of people with AS experience symptoms of depression. Depression was more prevalent in AS patients than in controls. Further research is needed to identify effective strategies for preventing and treating depression among AS patients.
A HYBRID ITERATIVE METHOD OF SOLUTION FOR MIXED EQUILIBRIUM AND OPTIMIZATION PROBLEMS
Lijuan Zhang,Junmin Chen 영남수학회 2010 East Asian mathematical journal Vol.26 No.1
In this paper, we introduce a hybrid iterative method for finding a common element of the set of solutions of a mixed equilibrium problem, the set of common fixed points of finitely many nonexpansive mappings and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. We show that the iterative sequences converge strongly to a common element of the three sets. The results extended and improved the corresponding results of L.-C.Ceng and J.-C.Yao.
Novel Flower-Like CuO/N-rGO as Enhanced Electrocatalyst for Oxygen Reduction Reaction
Lijuan Zhang,Jinhua Lu,Jianfeng Wei,Yan Wang 성균관대학교(자연과학캠퍼스) 성균나노과학기술원 2019 NANO Vol.14 No.10
Flower-like copper oxide (CuO)/nitrogen-doped reduced graphene oxide (N-rGO) was synthesized through a one-pot microwave hydrothermal method by using polyvinylpyrrolidone (PVP) as surfactant. In the process, in situ formation of nanomaterial CuO, reduction of graphene oxide and doping of nitrogen species occurred simultaneously in urea solution. The structural and surface properties of the material were investigated by field emission scanning electron microscopy (FESEM) and transmission electron microscopies (TEM), the energy dispersive spectroscopic (EDS) and powder X-ray diffraction (XRD). This showed the flower-like CuO with an interconnected architecture was successfully uniformed and grown on the surface of N-rGO. Moreover, the surfactant PVP and urea were found to be the key factors to control the morphology of the CuO nanostructure. Electrochemical investigations indicated that the CuO/N-rGO composite exhibited a significantly enhanced ORR activity in comparison to pure CuO and N-rGO in an alkaline solution. The enhancement in ORR activity of CuO/N-rGO composite can be attributed to the synergistic effects of good electron transport from N-rGO as well as abundance of exposed catalytic sites and meso/macroporosity from CuO nanostructures.
Lijuan Zhang,Juchun Li 영남수학회 2011 East Asian mathematical journal Vol.27 No.5
In this paper, we introduce a new iterative scheme for nding a common element of the set of an equilibrium problem, the set of xed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for α-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.
Zhang, Lijuan,Li, Juchun The Youngnam Mathematical Society Korea 2011 East Asian mathematical journal Vol.27 No.5
In this paper, we introduce a new iterative scheme for finding a common element of the set of an equilibrium problem, the set of fixed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for ${\alpha}$-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.
Viscosity approximation methods for nonexpansive semingroups and monotone mapppings
Lijuan Zhang 영남수학회 2012 East Asian mathematical journal Vol.28 No.5
Let C be a nonempty closed convex subset of real Hilbert space H and F = {S(t) : t ≥ 0} a nonexpansive self-mapping semigroup of C, and f : C → C is a fixed contractive mapping. Consider the process {xn} :x_(n+1) =β_nx_n+(1−β_n)z_n z_n = α_nf(x_n) + (1 − α_n)S(t_n)P_C(x_n − r_nAx_n). It is shown that {xn} converges strongly to a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of the variational inequality for an inverse strongly-monotone mapping which solves some variational inequality.
VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE SEMINGROUPS AND MONOTONE MAPPPINGS
Zhang, Lijuan The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.5
Let C be a nonempty closed convex subset of real Hilbert space H and F = $\{S(t):t{\geq}0\}$ a nonexpansive self-mapping semigroup of C, and $f:C{\rightarrow}C$ is a fixed contractive mapping. Consider the process {$x_n$} : $$\{{x_{n+1}={\beta}_nx_n+(1-{\beta}_n)z_n\\z_n={\alpha}_nf(x_n)+(1-{\alpha}_n)S(t_n)P_C(x_n-r_nAx_n)$$. It is shown that {$x_n$} converges strongly to a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of the variational inequality for an inverse strongly-monotone mapping which solves some variational inequality.
STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Zhang, Lijuan,Hou, Zhibin The Youngnam Mathematical Society Korea 2010 East Asian mathematical journal Vol.26 No.5
In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of an asymptotically strictly pseudocontractive mapping in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.