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Necessary and sufficient conditions for oscillation of second‐order dynamic equations on time scales
Author(s) -
Zhou Yong,
Ahmad Bashir,
Alsaedi Ahmed
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5672
Subject(s) - dynamic equation , sublinear function , mathematics , oscillation (cell signaling) , order (exchange) , second order equation , mathematical analysis , differential equation , nonlinear system , physics , finance , quantum mechanics , biology , economics , genetics
In this paper, we establish necessary and sufficient conditions for oscillation of second‐order strongly superlinear and strongly sublinear dynamic equations. Our results unify and improve many known results in the literature.