A complete asymptotic analysis of an oscillation free nonlinear equation of Bessel type with a pole in the dependent variable

• Published in: Нелінійні коливання
• Date: 2010
• ISSN: 1562-3076
• Main Authors: Mingarelli, A.B., Pacheco-Castelao, J.M., Melkonian, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174926
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A complete asymptotic analysis of an oscillation free nonlinear equation of Bessel type with a pole in the dependent variable / A.B. Mingarelli, J.M. Pacheco-Castelao, S. Melkonian // Нелінійні коливання. — 2010. — Т. 13, № 2. — С. 206-239. — Бібліогр.: 31 назв. — англ.

We characterize the solution set of a nonlinear perturbation of Bessel’s equation of order zero on a half- line where the nonlinearity is analytic in the independent variable, algebraic in the dependent variable and, indeed, admits a pole in this variable. We show that the equation fails the Painlev...