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非线性三阶微分方程的上下解方法

Upper and Lower Solution Method of Nonlinear Third-order Differential Equation
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摘要 本文在较弱的单调性条件下,利用上下解方法与单调迭代技巧获得了非线性三阶微分方程u'(t)+au'(t)+bu'(t)=f(t,u(t)),t∈R极值ω-周期解的存在性,并且给出了解的迭代序列,其中f:R×R→R为关于t以ω为周期的连续函数,a,b>0为常数. Under weakly monotonicity condition,we obtain the existence of extremal ω-periodic solutions of nonlinear third-order ordinary differential equation u＇（ t） ＋ au＇（ t） ＋ bu＇（ t） = f（ t,u（ t））,t ∈ R by using the method of upper and lower solutions and monotone iterative technique,and get the iterative sequences of the solution,where f： R × R → R is a continuous function which is ω- periodic in t,a and b are positive constants.
作者 王晓燕 贾爱霞
机构地区 兰州工业学院基础学科部
出处 《兰州工业学院学报》 2016年第3期83-85,共3页 Journal of Lanzhou Institute of Technology
基金 国家自然科学基金青年项目(11401281)
关键词 非线性三阶微分方程 上下解 单调迭代方法 nonlinear third-order ordinary differential equation upper and lower solutions mono-tone iterative method
分类号 O175 [理学—基础数学]
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参考文献9

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二级参考文献5

  • 1Leela S. Monotone method for second oder periodic boundary value problems. Nonlinear Anal. 1983,7: 349-355.
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兰州工业学院学报
2016年 第3期

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