Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales

Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients

“…Compared to dynamic equations with positive coefficients, the research on oscillation and nonoscillation of dynamic equations with positive and negative coefficients has received less attention. What is more, most of the papers focus on the oscillation of second-order dynamic equations with positive and negative coefficients (see [5,6,8,17,[19][20][21]), much fewer do on third-order dynamic equations with positive and negative coefficients. However, for third-order delay dynamic equations with positive coefficients, the oscillation theory has been developed well on the binomial equations.…”

New oscillation criteria of special type second-order non-linear dynamic equations on time scales

“…In particular, a time scale q Z [ f0g; q [ 1 is used in quantum physics, see in [6,7]. Many authors have worked on various aspects of new theory, see in [2,6,7,14,17,19,20,21,34] and the references therein. These literatures summarize and organize much of time scale calculus.…”

Oscillation for second-order half-linear delay damped dynamic equations on time scales

“…Remark 2.2 One can easily find that the results in[1][2][3][4][5][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] cannot be applied in(2.22).…”

“…The results in [3,5] cannot be applied in (1.7) due to ∞ 1 t -2 ln t dt < ∞. One can easily find that the results in [4,7,8,[12][13][14][15][16][17][18][19][20][21][22][23] cannot be applied in (1.7).…”