Oscillation criteria for second-order neutral delay differential equations

Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term

“…Contrarily to the existing results, Bohner et al. [4] showed that the oscillation of ( E ) can be guaranteed in this case via only one condition.…”

“…[3], Bohner et al. [4], and Li et al. [15], several oscillation results were established for ( E ) in the special case when and under the assumptions and ( H 1 ) (noncanonical case), whereas Agarwal et al.…”

Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

“…In recent years, many studies have been devoted to the oscillatory behavior of solutions to different classes of equations with nonnegative neutral coefficients; see, e.g., [2,4,5,12,13,15,20] and the references cited therein. However, for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3,4,6,11,14,[16][17][18].…”

Oscillation theorems for fourth‐order delay differential equations with a negative middle term

“…has a positive solution. Employing again properties (14) and (16) of solutions z(t) and v(t), respectively, one can find that…”

“…For a broader view, we refer the reader to some classical papers [2][3][4][5][6] and the references cited therein. Recently, investigation of higher-order differential equations with a middle term y (n) (t) + p(t)y (n−2) (t) + q(t)y( (t)) = 0 has received a considerable portion of interest (see, for instance Agarwal [7][8][9][10][11][12][13][14][15][16][17] ). However, a little attention has been paid to a case when a difference in the derivative order between the first and the second terms of the studied equation is greater than 2.…”