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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
Citation: On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations

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  • The property of linearly dependence of solutions f(z) and f(z+2\pi \mathrmi) for higher-order linear differential equations f^(k)+A_k-2f^(k-2)+\cdots+A_1f^'+A_0f=0 with periodic entire coefficients is investigated, where A_1 for the equation is the dominant coefficient.
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