AI 中文总结
研究$|q|>1$的代数$q$-差分方程，提出Dulac级数解在原点扇形内收敛的充分条件，并给出应用示例。
AI 中文摘要
本文考虑$|q|>1$时的代数$q$-差分方程。提出了一个充分条件，用于保证此类方程的解在以原点为中心的扇形区域内以Dulac级数形式收敛。并给出了一个示例，说明该充分条件的应用。
英文摘要
An algebraic $q$-difference equation for $|q|>1$ is considered. A sufficient condition is proposed for the convergence of a solution to such an equation in the form of a Dulac series within a sector centered at the origin. An example illustrating the application of this sufficient condition is provided.
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