一类微分方程的解和小函数的关系

Abstract

Abstract:

This paper investigates the relation between solutions, their 1st, 2nd and 3rd derivatives, differential polynomial of the equation f''+e^az f'+h(z)e^bzf =0 with functions of small growth, where a, b are nonzero complex numbers such that a =cb~(c>1) and h(z) is a nonzero polynomial.

Key words: Differential equation, Exponent of convergence, Function of small growth

CLC Number:

30D35

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ZHANG Ran-Ran, CHEN Zong-Xuan. The Relation between Solutions of a Class of Differential Equations and Functions of Small Growth[J].Acta mathematica scientia,Series A, 2009, 29(4): 918-928.

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The Relation between Solutions of a Class of Differential Equations and Functions of Small Growth

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