蒋业阳. 一类非齐次微分方程解的级和零点[J]. 华南师范大学学报（自然科学版）, 2011, (2).
引用本文: 蒋业阳. 一类非齐次微分方程解的级和零点[J]. 华南师范大学学报（自然科学版）, 2011, (2).
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Jiang Ye-Yang. THE GROWTHS AND ZEROS OF SOLUTIONS OF A CLASS OF NONHOMOGENEOUS DIFFERENTIAL EQUATIONS[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
Citation: Jiang Ye-Yang. THE GROWTHS AND ZEROS OF SOLUTIONS OF A CLASS OF NONHOMOGENEOUS DIFFERENTIAL EQUATIONS[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
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一类非齐次微分方程解的级和零点

THE GROWTHS AND ZEROS OF SOLUTIONS OF A CLASS OF NONHOMOGENEOUS DIFFERENTIAL EQUATIONS

    摘要
  • 摘要: 在方程系数A_0的型起控制作用的条件下,研究了高阶非齐次线性微分方程 f^(k)+A_k-1(z)f^(k-1)+\cdots+A_0(z)f=F(z)解的增长性,得到了上述微分方程解的增长级和零点的一些精确估计

     

    Abstract: The growth of solutions of a class of higher order nonhomogeneous linear differential equation f^(k)+A_k-1(z)f^(k-1)+\cdots+A_0(z)f=F(z) is investigated, under the condition that the equation is controlled by the type of the coefficient \ A_0 , and some accurate estimates of the growth and zeros are obtained for the entire solutions of this differential equation.

     

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