使混合 发表于 2025-3-23 12:14:37

,Zufallsgrößen und Verteilungen,notions of composite formal series and composite expansions of Gevrey kind play a key-role.The notion of Gevrey asymptotics has played a key-role in the classical theory of asymptotic expansions uniform in a full neighborhood of a turning point. In the present chapter, we generalize this concept to

geriatrician 发表于 2025-3-23 15:10:02

http://reply.papertrans.cn/24/2319/231808/231808_12.png

逗它小傻瓜 发表于 2025-3-23 20:20:30

http://reply.papertrans.cn/24/2319/231808/231808_13.png

净礼 发表于 2025-3-24 00:26:35

http://reply.papertrans.cn/24/2319/231808/231808_14.png

规范要多 发表于 2025-3-24 04:21:28

Historical Remarks,, Erdélyi . The matching is the main subject of Eckhaus’ book and the Chaps. VII and VIII of Wasow’s book . In the latter book, the method is presented for linear systems of singularly perturbed differential equations.

杀子女者 发表于 2025-3-24 08:34:22

Book 2013 functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansion

打击 发表于 2025-3-24 13:23:51

https://doi.org/10.1007/978-3-8351-9211-9erval containing the turning point. Such a solution will be called a .. On the other hand we show that, if there is such a local canard, then there is also a global canard. In other words, there is no phenomenon of buffer points for this kind of equation.

种族被根除 发表于 2025-3-24 17:11:03

https://doi.org/10.1007/978-3-658-27218-0d then attracting. In this situation, any solution with bounded initial condition at the turning point is defined and bounded on an interval containing this turning point, but this solution can have a . s. only if the initial condition has an asymptotic expansion. We will see that this necessary condition is also sufficient.

抛射物 发表于 2025-3-24 22:05:46

Four Introductory Examples,d then attracting. In this situation, any solution with bounded initial condition at the turning point is defined and bounded on an interval containing this turning point, but this solution can have a . s. only if the initial condition has an asymptotic expansion. We will see that this necessary condition is also sufficient.

多山 发表于 2025-3-25 01:26:03

http://reply.papertrans.cn/24/2319/231808/231808_20.png
页: 1 [2] 3 4
查看完整版本: Titlebook: Composite Asymptotic Expansions; Augustin Fruchard,Reinhard Schäfke Book 2013 Springer-Verlag Berlin Heidelberg 2013 Gevrey expansions.com