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Oscillation and asymptotic behavior of third-order semi-canonical difference equations with positive and negative terms | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 197، دوره 14، شماره 1، فروردین 2023، صفحه 2519-2527 اصل مقاله (378.14 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26450.3316 | ||
| نویسندگان | ||
| Gopal Thangavel1؛ Ayyappan Govindasamy* 2؛ E. Thandapani3 | ||
| 1Department of Mathematics, Periyar University, Salem 636011, Tamilnadu, India | ||
| 2Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti - 636905, Tamilnadu, India | ||
| 3Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India | ||
| تاریخ دریافت: 09 اسفند 1400، تاریخ بازنگری: 17 شهریور 1401، تاریخ پذیرش: 08 دی 1401 | ||
| چکیده | ||
| This paper deals with the oscillatory and asymptotic properties of third-order semi-canonical difference equations with positive and negative terms of the form $$\Delta\left(\varphi(\ell)\Delta\left(\psi(\ell)\Delta \mu(\ell) \right) \right)+\xi(\ell)f(\mu(\sigma(\ell)))-\chi(\ell)g(\mu(\tau(\ell)))=0.$$ Using a canonical transformation technique, we offer new criteria which imply that the solutions of the studied equation are almost oscillatory. Some examples are provided to support our results. | ||
| کلیدواژهها | ||
| Third-order؛ semi-canonical؛ difference equation؛ oscillation؛ positive and negative term | ||
| مراجع | ||
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[1] R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 2000. [17] S.H. Saker and J.O. Alzabut, Oscillatory behavior of third order nonlinear difference equations with delayed argument, Dyn. Contin. Discrete Impuls. Syst. Ser. A. Math. Anal. 17 (2010), 707–723. | ||
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