二阶混合非线性椭圆方程的强迫振动性质
이계혼합비선성타원방정적강박진동성질
Forced Oscillation for Second Order Elliptic Equations with Mixed Nonlinearities
  • 万方数据
    工程数学学报 공정수학학보
    CHINESE JOURNAL OF ENGINEERING MATHEMATICS
    2012年 2期 278-290 ,共13页

    杨戈锋%徐志庭

    양과봉%서지정

    振动%强迫%混合非线性%椭圆型方程%阻尼 振動%彊迫%混閤非線性%橢圓型方程%阻尼
    진동%강박%혼합비선성%타원형방정%조니
    oscillation%forced%mixed nonlinearities%elliptic equation%damping
    本文对含有阻尼项二阶混合非线性椭圆方程,建立了其所有解振动的判定定理,这些定理包含和改进了其对应的常微分方程和超线性椭圆方程相应的结果.
    본문대함유조니항이계혼합비선성타원방정,건립료기소유해진동적판정정리,저사정리포함화개진료기대응적상미분방정화초선성타원방정상응적결과.
    In this paper,the oscillation criteria are established for a forced second order mixed nonlinearities elliptic partial differential equation with damping.In contrast to the existing results in the literature,our results include and improve some recent oscillation criteria for second order forced ordinary differential equations and certain second order superlinear elliptic differential equations.
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