Oscillation criteria for nonlinear differential equations with damping

Oscillation results for second order matrix differential equations with damping

“…Motivated by the ideas of Li [28] and Rogovchenko [43], they obtained new oscillation criteria for oscillation by using a generalized Riccati technique. For n=1, oscillation of nonlinear differential equations with a linear damping term of the form ( 10) has been addressed in the monograph of Agarwal et al [2] and papers by Elabbasy et al [11], Grace and Lalli [19], Hao and Lu [22], Kirane and Rogovchenko [25], Li and Agarwal [30], Li et al [32], Rogovchenko [39], Rogovchenko and Tuncay [41,42], Yang [61], to mention a few, whereas oscillation criteria for the general equation…”

On the oscillation of second-order nonlinear differential equations with damping

“…In 2008, Huang and Meng [9], take into considerations of Ç akmak and Tiryaki's paper [2] and obtained some oscillation results for the nonlinear equation Eq. (1.6) under the same assumptations (A1)-(A7) in Zhao and Meng's paper [21] but replace the conditions (A3), (A6) and (A7) with (A3a), (A6a) and (A7a).…”

“…In [15,21], the authors obtained oscillation criteria for the equation for has been considered recently by Ayanlar and Tiryaki [1] and S. P. Rogovchenko,Yu. V. Rogovchenko [13].…”

Oscillation for second order nonlinear delay differential equations with impulse

“…The theory of impulsive differential equations is now being recognized to be not only richer than the corresponding theory of differential equations without impulses, but also represents a more natural frame work for the mathematical modeling of many real work phenomena [1].There are many papers devoted for the oscillation criteria of second-order differential equations without impulses [2][3],with impulse [4][5][6][7] .In [8],the authors obtained the asymptotic behavior for the equations…”