Oscillation tests for difference equations with non-monotone retarded arguments

تذبذب نموذج تكون الدم النبضي مع معاملات موجبة وسالبة

“…Many authors looked for sufficient conditions to ensure oscillatory property for different differential equations. As a result, they established a lot of papers for oscillatory theory for ordinary [8][9][10][11] and delay differential equations [12][13][14][15] The oscillation criteria of various IDE, including super-half-linear IDE, halflinear impulsive differential equations, and mixed nonlinear differential equations, were obtained by researchers Ozbekler and Zafer, who published the impulsive differential equations as well 16 . The methodology for analyzing impulsive differential equations were supplied by Agarwal, Karakoc, and Zafer, who also offered a summary of various findings on the oscillation of IDE up to 2010 (see 7, Published Online First: December, 2023 https://dx.doi.org/10.21123/bsj.2023.8796 P-ISSN: 2078-8665 -E-ISSN: 2411-7986 Baghdad Science Journal ecological and biological dynamical systems.…”

Oscillation Criteria for Nonlinear Third-Order Delay Dynamic Equations on Time Scales Involving a Super-Linear Neutral Term

“…Later, the research of oscillation was extended to other differential equations with complex forms, such as differential equations with a neutral form [3,4], or with distributed deviating arguments [5], or with a delay term [6], or with a damping term [7]. At the same time, research into oscillation was extended to various difference equations by many authors, for example, difference equations with retarded arguments [8], linear and half-linear difference equations [9], advanced difference equations [10], and so on.…”