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

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...

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Bibliographic Details
Date:2010
Main Authors: Mingarelli, A.B., Pacheco-Castelao, J.M., Melkonian, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/174926
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine