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- 2014
2阶齐次微分方程的次正规解
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Abstract:
研究了周期系数的2阶齐次微分方程f”+[P1(ez)+Q1(e1)]f'+[P2(ez)+Q2(e-z)]f=0的次正规解的存在性及表示形式.当Qj(j=1,2)的次数不同时,所得方程的次正规解的表示形式将会不同,完善了已有的结果.
The representations of all subnormal solutions of second order homogeneous linear differential equations f ″+[P1(e)+Q1(e)]f '+[P2(e)+Q2(e)]f=0 are investigated.When the degrees of Qj(j=1,2)are different, the representations of subnormal solutions of equations will be different,which complete the existing results