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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Bibliographic Details
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
Format: Article
Language:English
Subjects:
Applications of Mathematics
Criteria
Mathematics
Mathematics and Statistics
Nonlinear equations
Original Research
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Description
Summary: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.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-018-0241-9