Oscillation criteria for forced second order differential equations with mixed nonlinearities

A remark on connection between conjugacy of half-linear differential equation and equation with mixed nonlinearities

“…The paper is motivated by a recent paper [1] and extends and completes the results from this paper in several respects (see also Remark 2.2). In contrast to the paper [1] we allow p i < p for some i and do not assume anything about the fixed sign of the functions c i in this case.…”

New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities

“…have been extensively studied by numerous authors with different methods (see, for example, [1][2][3][4][5][15][16][17][18][19] and the references quoted therein).…”

“…It has been shown that many real world problems can be modelled, in particular, by half linear differential equations which can be regarded as a natural generalization of linear differential equations [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. A considerable amount of research has also been done on quasi-linear [15][16][17][18] and nonlinear second order differential equations [19][20][21][22][23].…”

Dynamic analysis of a class of neutral delay model based on the Runge-Kutta algorithm

“…With the further improvement of the Runge-Kutta algorithm and the further development of the neutral delay differential equation theory, many scholars have studied the delay differential equations and get some related results about oscillation [9][10][11][12][13][14]. People use a series of techniques and methods, such as calculation and reasoning, to study these equations and to obtain the oscillation conditions of the solution of the equation [10,[15][16][17][18][19]. How to get the oscillation criterion of the neutral delay differential equation model becomes the key and the difficult problem [20,21].…”