Some new oscillation results for a nonlinear dynamic system on time scales

Oscillation for a nonlinear dynamic system on time scales

“…We refer the reader to the recent papers [1,2,5,11,12] and the references cited therein. However, to the best of our knowledge, up to now, other than [10] and [26], there are no studies dealing with the oscillation of solutions of two-dimensional dynamic systems on time scales. Of our particular interest in this study are the papers [14] and [21].…”

“…It is easy to check that conditions (2),(10),(26), (39) and (40) hold. Again, in order for the condition(14) to hold, L. Erbe and R. Mert 1348 we need to choose a 1 $ 21.…”

Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales

“…However, to the best of our knowledge, there are few results dealing with the oscillation of the solutions of forced dynamic systems on time scales up to now. Motivated by [4,5,11], we will consider the oscillation property of system (1) and establish some oscillation criteria for system (1) in this paper. Our results not only unify the oscillation of twodimensional differential systems and difference systems but also improve the oscillation results that had been established by Saker [9], since our results are not restricted to the case where ( ) ̸ = 0, for all ∈ T and ( ) = .…”

“…The system (1) includes two-dimensional linear and nonlinear differential and difference systems, which were investigated in the literature; see, for example, [4,5] and the references therein. As a special case of (1), when ( ) = 0, system (1) can be reduced to…”