Asymptotic formulas for nonoscillatory solutions of conditionally oscillatory half-linear equations |
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| Authors: | Zuzana Pátíková |
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| Affiliation: | 1.Department of Mathematics,Tomas Bata University in Zlín,Zlín,Czech Republic |
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| 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} operatorname{sgn} x,p > 1,
$
(r(t)Phi (x'))' + c(t)Phi (x) = 0,Phi (x) = |x|^{p - 1} operatorname{sgn} x,p > 1,
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