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On properties of solutions of a class of nonlinear ordinary differential equations

✍ Scribed by A. A. Kon’kov


Publisher
Springer US
Year
2007
Tongue
English
Weight
184 KB
Volume
143
Category
Article
ISSN
1573-8795

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Multisummable Solutions of Nonlinear Ord
✍ A. Tovbis 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 767 KB

Moreover, any solution of (0.1) satisfying (0.3) can be constructed as a convergent series of iterated integrals, and the dimension of the manifold 9 S of such solutions is equal to the number of certain exponentials (exponentials e q j (x) , see section 1.2), which are decreasing in the whole secto