Oscillation of second-order nonlinear delay dynamic equations on time scales with a nonpositive neutral term Online publication date: Fri, 06-Jan-2023
by H.A. Agwa; A.M.M. Khodier; M. Hamam
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 6, 2022
Abstract: In this paper, we establish some new oscillation criteria for second- order nonlinear neutral delay dynamic equation of the form (r(t)((m(t)y(t) ? p(t)y(τ(t)))∆)γ )∆ + ƒ (t, y(?(t))) = 0 on a time scale 𝕋. The obtained results not only generalise and extend some existing results but also can be applied to some of oscillation problems that are not covered before. Finally, we give an example to illustrate our main results.
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