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Representation theorem for the solutions of equations with the turning point of infinite order

✍ Scribed by Karen Yagdjian


Publisher
Springer
Year
1997
Tongue
English
Weight
764 KB
Volume
173
Category
Article
ISSN
0373-3114

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Gevrey Asymptotic Representation of the
✍ Karen Yagdjian πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 740 KB

## Abstract An ordinary differential equation of the type magnified image with parameterΞΎ Ο΅ IR^n^ and smooth coefficients a__~j,a~__ Ο΅ __C^∞^__(__[‐T,T]__) is studied. It is assumed that all the characteristic roots of the equation vanish at __t__ = 0 while for __t__ β‰  0 they are real and distinct.