Comparison theorems for the third order trinomial differential equations with delay argument

Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions

“…By using the Riccati transformation technique and the principle of comparison with a first-order delay differential equation, we obtained criteria that guarantee the oscillation of all solutions of the studied equation. Our study is an improvement and an extension of the results found in the literature [13,23,25]: Remark 3. To obtain more results about the oscillation of Equation ( 8 On the other hand, new conditions can be obtained without the restrictions η ≥ 0, • ς = ς • and ς ≥ ς 0 ≥ 0, (ι) ≥ 0 ≥ 0.…”

“…Within a not so long time, many research activities have emerged which are concerned with studying the oscillatory and asymptotic properties of third-order neutral differential equations, where some results can be followed up on in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. For the equations on time scales, see [30][31][32] and the references therein.…”

Some New Oscillation Results for Fourth-Order Neutral Differential Equations with Delay Argument

“…Oscillation of nonlinear differential equations with delay arguments has been further developed in recent years. For some this results, see [33][34][35][36][37].…”