Oscillation of second-order nonlinear neutral delay dynamic equations on time scales

Oscillation criteria for quasi-linear functional dynamic equations on time scales

“…Taking the lim inf of both sides as t → ∞, we have r * ≥ p * − ε + (r * − ε) 33) and this completes the proof of (2.25). Next, we prove (2.26).…”

“…The proof is similar to that of the proof in [31,Theorem 3.3], if one uses the inequality (2.3) and hence is omitted.…”

“…In the last few years, there has been increasing interest in obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations on time scales. For contribution, we refer the reader to the papers [1,2,3,4,5,6,7,8,9,12,13,14,15,16,18,19,20,21,28,29,30,31,32,33,34], and the references cited therein.…”

“…Note lim sup Another method of choosing test functions can be developed by considering the function class which consists of kernels of two variables. Following Saker [31], we say that the function H ∈ provided H is defined for…”

Oscillation of Second-Order Neutral Dynamic Equations with Mixed Arguments

“…In recent years, there has been much research activity concerning the oscillation and nonoscillation of solutions to different classes of dynamic equations on time scales, we refer the reader to the papers and the references cited therein. Therein, Agarwal et al [6], Candan [7], Erbe et al [8], Ş ahiner [10], Saker [11], Saker et al [12,13], Saker and O'Regan [14], Tripathy [15], Chen [16], Zhang and Wang [17], Wu et al [18], and Thandapani et al [20] studied a class of half-linear dynamic equations…”