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New oscillation criteria of special type second-order non-linear dynamic equations on time scales

By the Riccati transformation technique, we study some new oscillatory properties for the second-order dynamic equation on an arbitrary time scale T . We also establish the Kamenev-type and Philos-type oscillation criteria. At the end, we give examples which illustrate our main results.

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Published in:Mathematical sciences (Karaj, Iran) Iran), 2018-03, Vol.12 (1), p.25-39
Main Authors: Negi, Shekhar Singh, Abbas, Syed, Malik, Muslim, Xia, Yong-Hui
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Language:English
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description By the Riccati transformation technique, we study some new oscillatory properties for the second-order dynamic equation on an arbitrary time scale T . We also establish the Kamenev-type and Philos-type oscillation criteria. At the end, we give examples which illustrate our main results.
doi_str_mv 10.1007/s40096-018-0241-9
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2251-7456
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subjects Applications of Mathematics
Criteria
Mathematics
Mathematics and Statistics
Nonlinear equations
Original Research
title New oscillation criteria of special type second-order non-linear dynamic equations on time scales
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