Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Abstract

Abstract. In this paper, we consider the second-order nonlinear delay dynamic equation

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

“…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.…”

Comparison theorems of Hille–Wintner type for dynamic equations on time scales

“…We also assume throughout that (1.3) 0 < r 1 (t) ≤ r 2 (t), t ∈ T, There are many recent additional results for oscillation of dynamic equations on time scales for both the linear and nonlinear case (see, e.g., [1], [4]- [13], [18], [20]). For completeness, we recall the following concepts related to the notion of time scales.…”

Oscillation criteria for nonlinear neutral functional dynamic equations on time scales

“…In recent years there has been a great deal of research activity concerning the oscillation and nonoscillation of solutions of second order dynamic equations on time scales, we refer the reader to the papers [1,2,[5][6][7]10,11,[14][15][16][17][18][31][32][33]35,36,39] and the references cited therein. For oscillation of neutral dynamic equations we refer the reader to the papers [3,27,34,37,38,43] and for oscillation of different types of equations we refer the reader to the book by the second author [30].…”