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n阶非线性泛函微分不等式的强振动性质
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作者 燕居让 《高校应用数学学报(A辑)》 CSCD 北大核心 1989年第1期45-50,共6页
本文考虑了非线性泛函微分不等式x(t)[x^(n)(t)+p(t)f(x(t),x(g(t)))+r(t)]≤0的振动性,其中n为偶数。给出了相应不等式x(t)[x^(n)(t)+λp(t)f(x(t),x(g(t)))+r(t)]≤0,λ>0,的所有解是振动的充分条件。本文的结果改进和推广了已知... 本文考虑了非线性泛函微分不等式x(t)[x^(n)(t)+p(t)f(x(t),x(g(t)))+r(t)]≤0的振动性,其中n为偶数。给出了相应不等式x(t)[x^(n)(t)+λp(t)f(x(t),x(g(t)))+r(t)]≤0,λ>0,的所有解是振动的充分条件。本文的结果改进和推广了已知的一些结果。 展开更多
关键词 泛函 微分不等式 非线 强振动性
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一类拟线性脉冲时滞抛物方程组的强迫振动性
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作者 罗李平 杨柳 王艳群 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期7-11,共5页
考虑一类拟线性脉冲时滞抛物型偏微分方程组的振动性和强振动性,直接利用振动的定义、G reen公式和Newm ann边值条件将这类具强迫项的脉冲时滞抛物型方程组的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用最终正解的定... 考虑一类拟线性脉冲时滞抛物型偏微分方程组的振动性和强振动性,直接利用振动的定义、G reen公式和Newm ann边值条件将这类具强迫项的脉冲时滞抛物型方程组的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用最终正解的定义和脉冲时滞微分不等式,获得了该类方程组所有解振动和强振动的若干充分条件.所得结果充分反映了脉冲和时滞在振动中的影响作用. 展开更多
关键词 拟线 脉冲 时滞抛物型偏微分方程组 振动 强振动性
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基于脉冲和时滞效应的拟线性双曲系统的(强)振动性分析
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作者 罗李平 罗振国 曾云辉 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第4期149-152,共4页
脉冲偏微分系统能够成功地应用于力学、理论物理、化学及人口动力学、生物工程、最优控制和经济学等方面的数学模拟。振动性理论作为脉冲偏微分系统定性理论的重要分支之一,对其进行研究具有极大的理论意义与实用价值。本文考虑一类基... 脉冲偏微分系统能够成功地应用于力学、理论物理、化学及人口动力学、生物工程、最优控制和经济学等方面的数学模拟。振动性理论作为脉冲偏微分系统定性理论的重要分支之一,对其进行研究具有极大的理论意义与实用价值。本文考虑一类基于脉冲和时滞效应的拟线性双曲系统的(强)振动性问题,直接从(强)振动的定义出发,借助新的处理拟线性扩散项的技巧、Green散度定理和第二类边界条件把这类系统解的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用二阶脉冲时滞微分不等式的某些结果,建立了该类系统在第二类边界条件下所有有界解(强)振动的若干充分判据,结论充分地表明系统振动是由脉冲量和时滞量引起的,"强振动性"的判别条件比"振动性"的判别条件更强些。 展开更多
关键词 双曲系统 ()振动 拟线扩散项 脉冲 时滞
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一类拟线性脉冲时滞双曲系统的(强)振动性
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作者 罗李平 蔡江涛 +2 位作者 王艳群 谢作政 王春发 《衡阳师范学院学报》 2012年第3期1-6,共6页
讨论一类具拟线性扩散项的脉冲时滞双曲系统解的(强)振动性质,利用脉冲微分不等式,得到了该类系统在Neumann边值条件下所有解(强)振动的若干充分条件。
关键词 ()振动 脉冲 时滞 双曲系统 拟线扩散项
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具脉冲扰动和时滞效应的拟线性抛物系统的(强)振动分析 被引量:8
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作者 罗李平 罗振国 杨柳 《应用数学学报》 CSCD 北大核心 2016年第1期21-30,共10页
研究一类具脉冲扰动和时滞效应的拟线性抛物系统的(强)振动性问题,利用新的处理拟线性扩散项的技巧和脉冲时滞微分不等式,建立了该类系统在Neumann边值条件下所有解(强)振动的若干新的充分条件.所得结果充分表明系统振动是由脉冲扰动和... 研究一类具脉冲扰动和时滞效应的拟线性抛物系统的(强)振动性问题,利用新的处理拟线性扩散项的技巧和脉冲时滞微分不等式,建立了该类系统在Neumann边值条件下所有解(强)振动的若干新的充分条件.所得结果充分表明系统振动是由脉冲扰动和时滞效应引起的. 展开更多
关键词 ()振动 抛物系统 脉冲扰动 时滞效应 拟线扩散项
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带脉冲效应的拟线性双曲系统(强)振动性分析 被引量:2
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作者 罗李平 罗振国 曾云辉 《山东大学学报(理学版)》 CAS CSCD 北大核心 2015年第3期57-61,66,共6页
研究了一类带脉冲效应的拟线性双曲系统(强)振动性质。利用新的处理拟线性扩散项的技巧及脉冲微分不等式的某些结果,获得了该类系统在第二类边界条件下所有解(强)振动的若干充分判据,结论充分地表明系统振动是由脉冲效应引起的。
关键词 双曲系统 ()振动 拟线扩散项 脉冲效应
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具脉冲和时滞效应的拟线性双曲系统的振动性定理 被引量:13
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作者 罗李平 曾云辉 罗振国 《应用数学学报》 CSCD 北大核心 2014年第5期824-834,共11页
本文讨论一类具脉冲和时滞效应的拟线性双曲系统的强振动性和振动性,利用Green公式和Neumann边值条件将该类系统的振动问题转化为二阶脉冲时滞微分不等式最终正解的不存在性问题,并利用脉冲微分不等式,得到了该类系统强振动和振动的若... 本文讨论一类具脉冲和时滞效应的拟线性双曲系统的强振动性和振动性,利用Green公式和Neumann边值条件将该类系统的振动问题转化为二阶脉冲时滞微分不等式最终正解的不存在性问题,并利用脉冲微分不等式,得到了该类系统强振动和振动的若干充分性判据.所得结果充分表明系统振动是由脉冲和时滞效应引起的. 展开更多
关键词 脉冲 时滞双曲系统 强振动性 振动 拟线
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Role of Ni(NO_3)_2 in the preparation of a magnetic coal-based activated carbon 被引量:18
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作者 ZhangJun Xie Qiang Liu Juan Yang Mingshun Yao Xing 《Mining Science and Technology》 EI CAS 2011年第4期599-603,共5页
The role of Nil(NO3)2 in the preparation of a magnetic activated carbon is reported in this paper. Magnetic coal-based activated carbons (MCAC) were prepared from Taixi anthracite with low ash content in the prese... The role of Nil(NO3)2 in the preparation of a magnetic activated carbon is reported in this paper. Magnetic coal-based activated carbons (MCAC) were prepared from Taixi anthracite with low ash content in the presence of Ni(NO3)2. The MCAC materials were characterized by a vibrating sample magnetometer (VSM), X-ray diffraction (XRD), a scanning electric microscope (SEM), and by N2 adsorption. The cylindri- cal precursors and derived char were also subjected to thermogravimetric analysis to compare their behavior of weight losses during carbonization. The results show that MCAC has a larger surface area (1074 m21g) and a higher pore volume (0.5792 cm3/g) with enhanced mesopore ratio (by about 10~). It also has a high saturation magnetization (1.6749 emu/g) and low coercivity (43.26 Oe), which allows the material to be magnetically separated. The MCAC is easily magnetized because the nickel salt is con- vetted into Ni during carbonization and activation. Metallic Ni has a strong magnetism on account of electrostatic interaction. Added Ni(NO3)2 catalyzes the carbonization and activation process by accelerat- ing burn off of the carbon, which contributes to the development of mesopores and macropores in the activated carbon. 展开更多
关键词 Magnetic coal-based activated carbon Ni(NO3)2 Magnetic properties Pore structure
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A comprehensive comparison on vibration and heat transfer of two elastic heat transfer tube bundles 被引量:7
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作者 闫柯 葛培琪 翟强 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第1期377-385,共9页
Elastic heat transfer tube bundles are widely used in the field of flow-induced vibration heat transfer enhancement. Two types of mainly used tube bundles, the planar elastic tube bundle and the conical spiral tube bu... Elastic heat transfer tube bundles are widely used in the field of flow-induced vibration heat transfer enhancement. Two types of mainly used tube bundles, the planar elastic tube bundle and the conical spiral tube bundle were comprehensively compared in the condition of the same shell side diameter. The natural mode characteristics, the effect of fluid-structure interaction, the stress distribution, the comprehensive heat transfer performance and the secondary fluid flow of the two elastic tube bundles were all concluded and compared. The results show that the natural frequency and the critical velocity of vibration buckling of the planar elastic tube bundle are larger than those of the conical spiral tube bundle, while the stress distribution and the comprehensive heat transfer performance of the conical spiral tube bundle are relatively better. 展开更多
关键词 planar elastic tube bundle conical spiral tube bundle mode characteristics heat transfer performance
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Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations
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作者 罗交晚 侯振挺 贺春田 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第2期31-35, ,共5页
The aim of this paper is to study the asymptotic behavior of the oscillatory solutions of forced nonlinear neutral equations of the form[x(t)-∑mi=1p i(t)x(t-τ i)]′+∑nj=1q j(t)f(x(t-σ j))=r(t),t≥t 0,where p i,q ... The aim of this paper is to study the asymptotic behavior of the oscillatory solutions of forced nonlinear neutral equations of the form[x(t)-∑mi=1p i(t)x(t-τ i)]′+∑nj=1q j(t)f(x(t-σ j))=r(t),t≥t 0,where p i,q j,r∈C([t 0,∞),R),τ i,σ j≥0,i=1,2,…,m,j=1,2,…,n,f∈C(R,R),xf(x)>0 for x≠0. The results obtained here extend and improve some of the results of Ladas and Sficas [3] and J.R.Yan [5]. 展开更多
关键词 oscillatory solution nonlinear neutral equations forced term asymptotic behavior
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FORCED OSCILLATIONS OF A CLASS OF NONLINEAR DISPERSIVE WAVE EQUATIONS AND THEIR STABILITY 被引量:2
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作者 Muhammad USMAN Bingyu ZHANG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第2期284-292,共9页
It has been observed in laboratory experiments that when nonlinear dispersive waves are forced periodically from one end of undisturbed stretch of the medium of propagation, the signal eventually becomes temporally pe... It has been observed in laboratory experiments that when nonlinear dispersive waves are forced periodically from one end of undisturbed stretch of the medium of propagation, the signal eventually becomes temporally periodic at each spatial point. The observation has been confirmed mathematically in the context of the damped Korteweg-de Vries (KdV) equation and the damped Benjamin-Bona-Mahony (BBM) equation. In this paper we intend to show the same results hold for the pure KdV equation (without the damping terms) posed on a finite domain. Consideration is given to the initial-boundary-value problem {ut+ux+uux+uxxx=0, u(x,0)=φ(x), 0〈x〈1, t〉0,u(0,t)=h(t), u(1,t) = 0, ux(1,t) = 0, t〉0.It is shown that if the boundary forcing h is periodic with small ampitude, then the small amplitude solution u of (*) becomes eventually time-periodic. Viewing (*) (without the initial condition) as an infinite-dimensional dynamical system in the Hilbert space L^2(0, 1), we also demonstrate that for a given periodic boundary forcing with small amplitude, the system (*) admits a (locally) unique limit cycle, or forced oscillation, which is locally exponentially stable. A list of open problems are included for the interested readers to conduct further investigations. 展开更多
关键词 Forced oscillation STABILITY the BBM equation the KdV equation time-periodic solution
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OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION
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作者 KONGQINGKAI ZHANGBINGGEN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1994年第1期59-68,共10页
This paper gives several criteria on the oscillatory behavior of solutions of the forced secondorder equation x″+ a(t)i(x) = g(t), where g(t) is oscillatory) by using a geometric idea. Asspecial cases these results i... This paper gives several criteria on the oscillatory behavior of solutions of the forced secondorder equation x″+ a(t)i(x) = g(t), where g(t) is oscillatory) by using a geometric idea. Asspecial cases these results include and improve some recent results, given by J. S. Wong. Thecriteria also solve the problem posed by H. Onose in Mathematical Reviews, 1986. 展开更多
关键词 OSCILLATION FORCED Nonlinear Differential equations.
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Internal Flow Simulation of High-Performance Solid Rockets using a k-ω Turbulence Model
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作者 V.R.SANAL KUMAR H.D.KIM +2 位作者 B.N.RAGHUNANDAN T.SETOGUCHI S.RAGHUNATHAN 《Journal of Thermal Science》 SCIE EI CAS CSCD 2005年第2期114-119,共6页
For technological reasons many high-performance solid rocket motors are made from segmented propellant grains with non-uniform port geometry. In this paper parametric studies have been carried out to examine the geome... For technological reasons many high-performance solid rocket motors are made from segmented propellant grains with non-uniform port geometry. In this paper parametric studies have been carried out to examine the geometric dependence of transient flow features in solid rockets with non-uniform ports. Numerical computations have been carried out in an inert simulator of solid propellant rocket motor with the aid of a standard k-ω turbulence model. It was seen that the damping of the temperature fluctuation is faster in solid rocket with convergent port than with divergent port geometry. We inferred that the damping of the flow fluctuations using the port geometry is a meaningful objective for the suppression and control of the instability and/or pressure/thrust oscillations during the starting transient of solid rockets. 展开更多
关键词 solid rockets pressure spike INSTABILITY thrust oscillation turbulent separation.
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