New oscillation criterion for delay differential equations with non-monotone arguments

Oscillation Criteria for Delay and Advanced Differential Equations with Nonmonotone Arguments

“…and established sufficient oscillation conditions. Those conditions can lead to (30) and (31) when = 1.…”

“…Also, the improvement over conditions (28) and (30) is very satisfactory, around 48.61% and 37.78%, respectively. In addition, condition (116) is satisfied from the first iteration, while conditions (30) and (31) need more than one iteration.…”

Oscillation in deviating differential equations using an iterative method

“…Also, the improvement compared to conditions (19), (20) and 21is very satisfactory, around 67.95%, 60.05%, and 18.54%, respectively. In addition, observe that conditions (20) and (21) do not lead to oscillation for first iteration. On the contrary, condition (56) is satisfied from the first iteration.…”

“…The problem of establishing sufficient conditions for the oscillation of all solutions of equations (1) and (2) has been the subject of many investigations. The reader is referred to [1], [2], [3], [4], [5], [6], [7], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [20], [21], [22], [23], [24], [25] and the references cited therein. Most of these papers, however, concern the special case where the arguments are nondecreasing.…”

“…Some of these papers study the general case where the arguments are not necessarily monotone. See, for example, [1], [2], [3], [4], [5], [6], [7], [15], [21] and the references cited therein.…”