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On properties of entire solutions of linear differential equations with polynomial coefficients

โœ Scribed by Ya. S. Mahola; M. M. Sheremeta


Publisher
Springer US
Year
2012
Tongue
English
Weight
204 KB
Volume
181
Category
Article
ISSN
1573-8795

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We consider the planar equation \(\dot{z}=\sum a_{k, l}(t) z^{k} \bar{z}^{l}\), where \(a_{k, l}\) is a \(T\)-periodic complex-valued continuous function, equal to 0 for almost all \(k, l \in \mathbb{N}\). We present sufficient conditions imposed on \(a_{k,}\), which guarantee the existence of its \