Multisummable Solutions of Nonlinear Ordinary Differential Equations

✍ Scribed by A. Tovbis

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 767 KB
• Volume: 124
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1996.0014

✦ Synopsis

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 sector S ([T1]).