Oscillation Criteria of Second-Order Dynamic Equations on Time Scales

Ya-Ru Zhu, Zhong-Xuan Mao, Shi-Pu Liu and Jing-Feng Tian
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Ya-Ru Zhu: Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China
Zhong-Xuan Mao: Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China
Shi-Pu Liu: Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China
Jing-Feng Tian: Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China

Mathematics, 2021, vol. 9, issue 16, 1-11

Abstract: In this paper, we consider the oscillation behavior of the following second-order nonlinear dynamic equation. ? ( s ) ? 1 ? ? ( s ) y ( ? ( s ) ) ? ? + ? ( s ) ? ( y ( ? ( s ) ) ) = 0 , s ? [ s 0 , ? ) T . By employing generalized Riccati transformation and inequality scaling technique, we establish some oscillation criteria.

Keywords: second order dynamic equation; oscillation; nonlinear equation; Riccati technique; delta derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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