A three-dimensional diffusive Lotka–Volterra system of type-K with delays is investigated. We give a stability analysis in detail for all equilibria of the system and obtain some threshold conditions for linear instability and linear asymptotic stability of each equilibrium. We develop the analytical method for stability analysis of reaction–diffusion equations with multi-delays.

Reaction–diffusion system

Linear stability

Volterra equations

10.1080/00036811.2012.738360

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Existence of Positive Solutions to Boundary Value Problem for a Nonlinear Fractional Differential Equation

Shuxue jikan (2012)

Peixuan Weng

In this paper,we study a Dirichlet-type boundary value problem(BVP) of nonlinear fractional differential equation with an order α ∈(3,4],where the fractional derivative D~α_(o~+) is the standard Riemann-Liouville fractional derivative.By constructing the Green function and investigating its properties,we obtain some criteria for the existence of one positive solution and two positive solutions for the above BVP.The Krasnosel'skii fixedpoint theorem in cones is used here.We also give an example to illustrate the applicability of our results.

Derivative (finance)

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Existence of traveling wave solutions in nonlinear delayed cellular neural networks

Nonlinear Analysis Real World Applications (2007)

Xiuxiang Liu Peixuan Weng Zhiting Xu

Cellular neural network

Lattice (music)

10.1016/j.nonrwa.2007.09.010

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Citations (13)

ANALYSIS ON CITATION OF ARTICLES ON JOURNAL OF SOUTH CHINA NORMAL UNIVERSITY (NATURAL SCIENCE EDITION ,1998～2002)

Journal of South China Normal University (2005)

Peixuan Weng

Based on the literatures' metrological method and the statistical data from CJCR in the period from 1998 to 2002, an analysis and a comparison on the total citation, impact factor, immediacy index and the citing rate by others between 17 kinds of academic journals sponsored by the main normal universities in China have given in order to locate the academic impact and value for Journal of South China Normal University (Natural Science Edition), and express the authors' opinions about the evaluation of journals and the assessment of core journals as well.

Immediacy

Natural science

Impact factor

Citation analysis

Value (mathematics)

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