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Title: | Asymptotic formulas for nonoscillatory solutions of conditionally oscillatory half-linear equations | ||||||||||
Author: | Pátíková, Zuzana | ||||||||||
Document type: | Peer-reviewed article (English) | ||||||||||
Source document: | Mathematica Slovaca. 2010-04, vol. 60, issue 2, p. 223-236 | ||||||||||
ISSN: | 0139-9918 (Sherpa/RoMEO, JCR) | ||||||||||
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DOI: | https://doi.org/10.2478/s12175-010-0008-8 | ||||||||||
Abstract: | We establish asymptotic formulas for nonoscillatory solutions of a special conditionally oscillatory half-linear second order differential equation, which is seen as a perturbation of a general nonoscillatory half-linear differential equation (r(t)Phi(x'))' + c(t)Phi(x) = 0, Phi(x) = |x|(p-1) sgn x, p > 1, where r, c are continuous functions and r(t) > 0. (C) 2010 Mathematical Institute Slovak Academy of Sciences | ||||||||||
Full text: | http://www.springerlink.com/content/q323318581879014/ | ||||||||||
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