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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

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Applied Mathematics(A Journal of Chinese Universities) 2001年第2期16卷 122-126页

作者： gai mingjiu Shi Bao Zhang Decun Dept.of Basic Sciences Naval Aeronautical Engineering AcademyYantai264001

In this paper,the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms:[x(t)+p(t)x(σ(t))]″+q(t)f(x(τ(t)))g(x′(t))=0and[x(t)+p(t)x(σ(t))]″+q(t)f(... 详细信息

关键词： Second order nonlinear differential equations neutral type oscillations.

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO COHEN-GROSSBERG NEURAL NETWORKS WITH DELAYS ON TIME SCALES

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Annals of Differential Equations 2013年第1期29卷 7-16页

作者： mingjiu gai Qiang Zhang Bao Shi Institute of System Science and Math. Naval Aeronautical Engineering Institute

By the time scales calculus theory and the Krasnoselskii fixed point theorem in cones, some sufficient conditions ensuring the existence of positive periodic solutions to a kind of Cohen-Grossberg neural networks on t... 详细信息

关键词： time scales positive periodic solution Cohen-Grossberg neural networks Krasnoselskii fixed point theorem in cones

OSCILLATION AND NON-OSCILLATION FOR SECOND-ORDER QUASI-LINEAR DIFFERENCE EQUATIONS

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Annals of Differential Equations 2005年第3期21卷 503-506页

作者： Yang Shujie Shi Bao gai mingjiu Institute of Applied Math. Naval Aeronautical Engineering Institute Yantai 264001

Some oscillation and non-oscillation criteria for second-order quasi-linear difference equations are given. The results in Zhang and Zhou [4] are improved.

关键词： oscillation non-oscillation difference equations

DIRICHLET BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER QUASI-LINEAR DIFFERENTIAL EQUATIONS WITH CHANGING SIGN NONLINEARITIES

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Annals of Differential Equations 2006年第3期22卷 406-410页

作者： Yang Shujie Shi Bao Zhang Decun gai mingjiu (Institute of Applied Math., Naval Aeronautical Engineering Institute, Yantai 264001)

This paper is concerned with the existence of positive solutions of two-point Dirichlet singular and nonsingular boundary problems for second-order quasi-linear differential equations with changing sign nonlinearities.

关键词： quasi-linear differential equation boundary problems positive symmetric solutions