三阶三系数偏差分方程的振动性
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摘要
应用包络理论,研究了三阶三系数偏差分方程■的振动性,给出了振动的充要条件.
In this paper, we study the oscillatory behavior of the third-order partial difference equation with three coefficients■ Meanwhile, using the envelope theory, we obtain the necessary and sufficient conditions for oscillation of solutions.
In this paper, we study the oscillatory behavior of the third-order partial difference equation with three coefficients■ Meanwhile, using the envelope theory, we obtain the necessary and sufficient conditions for oscillation of solutions.
引文
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[14] 王娇凤,马慧莉.一类偏差分方程的振动性 [J].数学的实践与认识,2017,47(12):308-312.
[15] 王娇凤.几类偏差分方程振动性研究 [D].兰州:西北师范大学,2017.
[16] 王文杰,薛蓉,马慧莉.二阶三参数混合型偏差分方程解的振动性 [J].数学的实践与认识,2018,48(5):228-234.
[17] CHENG S S,LIN Y Z.Dual Sets of Envelopes and Characteristic Regions of Quasi-Polynomials [M].Singapore:World Scientific,2009.
[18] 陈朝晖.二元函数凹凸性的判别法及最值探讨 [J].高师理科学刊,2010,30(5):25-28.
[2] BERGER M J,OLIGER J.Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations [J].Journal of Computational Physics,1984,53(3):484-512.
[3] SMITH B F.Domain Decomposition Methods for Partial Differential Equations [M] //Parallel Numerical Algorithms.Berlin:Springer,1997.
[4] 王培光,葛渭高.一类非线性偏泛函微分方程的强迫振动性 [J].系统科学与数学,2000,20(4):454-461.
[5] 曾诚,孙永胜,杨智勇.连续减速带激励下非线性车辆半车模型振动分析 [J].西南大学学报(自然科学版),2017,39(2):142-146.
[6] ISLAM M N,CHEN Z.Natural Oscillation Control of Prototype Mechanical Rectifiers [J].IEEE Transactions on Control Systems Technology,2012,20(6):1559-1566.
[7] 陈彦,于徐红.高速公路斜拉桥索力检测数据快速采集与识别方法 [J].贵州师范大学学报(自然科学版),2013,31(4):92-95.
[8] YASUDA M,TAKEI K,ARIE T,et al.Oscillation Control of Carbon Nanotube Mechanical Resonator by Electrostatic Interaction Induced Retardation [J].Scientific Reports,2016,6(1):22600.
[9] ZHANG B G,AGARWAL R P.The Oscillation and Stability of Delay Partial Difference Equations [J].Comput Math Appl,2003,45(6-9):1253-1295.
[10] ZHANG B G,LIU B M.Necessary and Sufficient Conditions for Oscillations of Partial Difference Equations with Continuous Variables [J].Computers & Mathematics With Applications,1999,38(5-6):163-167.
[11] LIU S T,ZHANG B G,CHEN G.Asymptotic Behavior and Oscillation of Delay Partial Difference Equations with Positive and Negative Coefficients [J].The Rocky Mountain Journal of Mathematics,2003,33(3):953-970.
[12] ZHANG B G,ZHOU Y.Qualitative Analysis of Delay Partial Difference Equations [M].New York:Hindawi Publishing Corporation,2007.
[13] YUAN C H,LIU S T,LIU J.Exact Oscillation Regions for a Partial Difference Equation [J].Advances in Difference Equations,2015,2015(1):1-6.
[14] 王娇凤,马慧莉.一类偏差分方程的振动性 [J].数学的实践与认识,2017,47(12):308-312.
[15] 王娇凤.几类偏差分方程振动性研究 [D].兰州:西北师范大学,2017.
[16] 王文杰,薛蓉,马慧莉.二阶三参数混合型偏差分方程解的振动性 [J].数学的实践与认识,2018,48(5):228-234.
[17] CHENG S S,LIN Y Z.Dual Sets of Envelopes and Characteristic Regions of Quasi-Polynomials [M].Singapore:World Scientific,2009.
[18] 陈朝晖.二元函数凹凸性的判别法及最值探讨 [J].高师理科学刊,2010,30(5):25-28.