Oscillation criteria for second order nonlinear delay dynamic equations on time scales

Oscillation and nonoscillation theorems of neutral dynamic equations on time scales

“…On the other hand, in view of the fact that s n → 0 as n → ∞, from {s n } we find some s n such that s n ≥ T . Then it follows from (12) that u s n + 1 2k 3R s n u s n > 0, which contradicts (13). Therefore, 1 2k 3 is an upper bound of Λ which is independent of solution y(t).…”

“…Several excellent monographs [1][2][3][4][5] on the topic indeed reflect its popularity. Some recent results on oscillation and existence of nonoscillatory solutions for dynamic equations can be found in the articles [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] and the references cited therein.…”

Necessary and sufficient conditions for oscillation of second‐order dynamic equations on time scales

“…Several excellent monographs() summarized some important work in the field. Some recent results on oscillation and nonoscillation for second‐order linear and nonlinear dynamic equations can be found in the previous studies() and references therein.…”

Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales

“…In particular, many researchers have studied oscillation of second order dynamic equations. For some recent results on the topic, we refer the reader to the works [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and the references cited therein.…”