论文标题
自动ode的爆炸解决方案的多阶渐近扩展。我 - 方法和理由
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
论文作者
论文摘要
在本文中，我们提供了一种系统的方法，用于计算自主普通微分方程（ODES）附近爆破解决方案的多阶渐近扩展。在一类矢量场的爆破解决方案的主要项的特定形式下，我们提取代数对象确定渐近扩张中所有可能的订单。最终收集了计算混凝土多阶多阶渐近扩展的示例。
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations (ODEs). Under the specific form of the principal term of blow-up solutions for a class of vector fields, we extract algebraic objects determining all possible orders in the asymptotic expansions. Examples for calculating concrete multi-order asymptotic expansions of blow-up solutions are finally collected.
