Oscillation and asymptotic behavior of third-order semi-canonical difference equations with positive and negative terms
نویسندگان
1 Department of Mathematics, Periyar University, Salem 636011, Tamilnadu, India
2 Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti - 636905, Tamilnadu, India
3 Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India
doi
10.22075/ijnaa.2022.26450.3316چکیده
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.
