On oscillation of second order neutral type delay differential equations

Oscillation Theorems Related to Averaging Technique for Second Order Nonlinear Neutral Differential Equations

“…In this section, we will give some corollaries of Theorems 2.1 and 2.2, and show the applications of our main results in two interesting examples. Further, we will see that equations (3.10) and (3.11) are oscillatory based on Corollary 3.2 and Theorem 2.2, though the known results such as in [1][2][3][7][8][9][10]14,15,[17][18][19][20][21]24] fail to apply to these equations.…”

Oscillation Criteria for a Class of Second Order Neutral Delay Differential Equations

“…The interval oscillation, linear oscillation, and oscillation of second-order nonlinear neutral differential equations are studied in recent years, which promote delay differential equations to a new level, and many scholars propose some new oscillation criteria. The oscillation of neutral differential equations are studied in [1], [5], [6] and [8], and the oscillation of neutral delay differential equations are studied in [2]- [4], [7], [9] and [10]. In this paper, we introduced neutral delay differential equations, with reference to [4] and [9].…”

Oscillation of second-order nonlinear neutral differential equations

“…(1.1) see, for example, [3][4][5][6][7][8][9]14], where τ, σ > 0, p, q ∈ C([0, ∞), (−∞, ∞)), q(t) 0 and f ∈ C((−∞, ∞), (−∞, ∞)), xf (x) > 0, x = 0. However, the above references are all aimed at the case that p(t) 0, especially, the paper [10] has proved that Eq.…”