Oscillation of second-order Emden–Fowler neutral delay dynamic equations on time scales

Oscillation of Second-Order Nonlinear Neutral Dynamic Equations with Noncanonical Operators

“…A cover story article in New Scientist [30] discusses several possible applications. Recently, an increasing interest in obtaining sufficient conditions for oscillatory or nonoscillatory behavior of different classes of dynamic equations has been manifested, and we refer the reader to [2][3][4][5][8][9][10][11][12][13][14][16][17][18][20][21][22][23][24][25][26][27][28][29][33][34][35][36][38][39][40] and the references cited therein. Agarwal et al [4], Candan [9], Chen [10], Erbe et al [12],Şahiner [24], Saker [25,26], Saker et al [27,28], Saker and O'Regan [29], Tripathy [34], Wu et al [36], Yang and Xu [38], and Zhang and Wang [40] investigated (1.1) and obtained some oscillation results in the canonical case…”

Nonlinear Oscillation and Asymptotic Behavior of Second-order Neutral Dynamic Equations on Time Scales

“…In the last years, a lot of authors have investigated the oscillatory and asymptotic behavior of solutions of different classes of dynamic equations on time scales, and we refer the reader to (Chen & Liu, 2008;Chen, 2010a;Chen, 2010b;Chen & Liu, 2010;Grace et al, 2008;Grace et al, 2009;Hassan, 2008;Karpuz, 2009;Saker, 2005;Saker & O'Regan, 2011;Tripathy, 2009;Xu & Xu, 2009 It is easy to see that the cases considered in (Saker, 2005;Hassan, 2008;Grace et al, 2008;Grace et al, 2009) only are some special cases of (1) and that all the results of (Saker, 2005;Hassan, 2008;Grace et al, 2008;Grace et al, 2009) can not be applied to (1) (Saker, 2005) and (Hassan, 2008). Our results improve and extend some of those in (Saker, 2005;Hassan, 2008;Grace et al, 2008;Grace et al, 2009).…”

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…”