Results on oscillatory properties of third-order functional difference equations with semi-canonical operators
Abstract In this paper, we present new conditions for the oscillation of all solutions of the third-order functional difference equations with semi-canonical operators by transforming the studied equation into canonical type equations. This greatly simplifies to find conditions for the oscillation of all solutions of the studied equation. The results obtained here essentially improve and complement to the ones in Srinivasan et al. (2022). The importance and the novelty of the findings are illustrated with five specific examples.
Authors
- George E. Chatzarakis (ORCID: https://orcid.org/0000-0002-0477-1895)
- Rathinasamy Sakthivel (ORCID: https://orcid.org/0000-0002-5528-2709)
- E. Chandrasekaran
- Ethiraju Thandapani (ORCID: https://orcid.org/0000-0001-6801-4191)
Institutions
- Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (IN)
- University of Madras (IN)
- School of Pedagogical and Technological Education (GR)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1515/ms-2025-0027
- Citations
- 2
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 7.45