Growth of solutions of nonhomogeneous linear differential equations. (English) Zbl 1172.34058

Wang, Jun; Laine, Ilpo

Abstr. Appl. Anal. 2009, Article ID 363927, 11 p. (2009).

Summary: This paper studies the growth of solutions of linear differential equations of type
\[ f^{(k)}+A_{k - 1}(z)f^{(k - 1)}+ \dots +A_{1}(z)f^{\prime}+A_{0}(z)f=H(z), \]
where \(A_{j}\) (\(j=0,\dots,k - 1)\) and \(H\) are entire functions of finite order.

MSC:

34M10

Oscillation, growth of solutions to ordinary differential equations in the complex domain

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