论文标题
从正式到实际的puiseux系列解决方案一级代数微分方程
From formal to actual Puiseux series solutions of algebraic differential equations of first order
论文作者
论文摘要
研究了方程式的非自治代数微分方程的形式PUISEUX系列解决方案的形式PUISEUX系列解决方案的存在，唯一性和收敛性，其中研究了方程式的非语音点，包括无法明确应用著名的潘氏定理的情况。提供了几个示例，说明了与Painleve定理的关系和鲜为人知的石化结果。
The existence, uniqueness and convergence of formal Puiseux series solutions of non-autonomous algebraic differential equations of first order at a nonsingular point of the equation is studied, including the case where the celebrated Painleve theorem cannot be applied explicitly for the study of convergence. Several examples illustrating relationships to the Painleve theorem and lesser-known Petrovic's results are provided.
