Oscillation theorems for second-order superlinear neutral differential equations |
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| Authors: | Blanka Baculíková Tongxing Li Jozef Džurina |
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| Institution: | 1. Department of Mathematics Faculty of Electrical Engineering and Informatics, Technical University of Ko?ice, Letná 9, SK-042 00, Ko?ice, Slovakia
2. School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, P. R. China
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| Abstract: | The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (E) $$ (r(t)|z'(t)|^{\alpha - 1} z'(t))' + q(t)|x(\sigma (t))|^{\alpha - 1} x(\sigma (t)) = 0, $$ where z(t) = x(t) + p(t)x(τ(t)). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the results in the literature. |
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