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The Property of Solutions of a Class of Higher Order Nonhomogeneous Linear Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
Citation: The Property of Solutions of a Class of Higher Order Nonhomogeneous Linear Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
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The Property of Solutions of a Class of Higher Order Nonhomogeneous Linear Differential Equations

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  • The growth of solutions for the equation f^(k)+A_k-1f^(k-1)+\cdots+A_df^(d)+\cdots+A_0f=F is investigated,where A_j(1,2,\cdots,k-1) are entire functions with finite order, F is an entire function with infinite order. ~If the coefficients A_d\; (0 \leq d \leq k-1) satisfy some certain conditions,~the properties of solutions for this equation are obtained.
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