Results on oscillatory properties of third-order functional difference equations with semi-canonical operators

References

[1] Agarwal, R. P.: Difference Equations and Inequalities, Marcel Dekker, New York, 2000.10.1201/9781420027020Search in Google Scholar

[2] Agarwal, R. P.—Grace, S. R.—O’Regan, D.: Oscillation Theory for Difference and Functional Differential Equations, Kluwer Acad., Dordrecht, 2000.10.1007/978-94-015-9401-1Search in Google Scholar

[3] Agarwal, R. P.—Bohner, M.—Grace, S. R.—O’Regan, D.: Discrete Oscillation Theory, Hindawi, Publ. Corp., New York, 2005.10.1155/9789775945198Search in Google Scholar

[4] Artzrouni, M.: Generalized stable population, J. Math. Biol. 21 (1985), 363–381.10.1007/BF00276233Search in Google Scholar PubMed

[5] Ayyappan, G.—Chatzarakis, G. E.—Gopal, T.—Thandapani, E.: Oscillation criteria of third-order nonlinear neutral delay difference equations with canonical operators, Appl. Anal. Discrete Math. 15 (2021), 413–425.10.2298/AADM200913011ASearch in Google Scholar

[6] Ayyappan, G.—Chatzarakis, G. E.—Kumar, T.—Thandapani, E.: Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations, Math. Bohem. 148 (2023), 35–47.10.21136/MB.2022.0036-21Search in Google Scholar

[7] Bohner, M.—Geetha, S.—Selvarangam, S.—Thandapani, E.: Oscillation of third-order delay difference eqautions with negative damping term, Ann. Univ. Mariae Curie-Skłodowska Sect. A 72 (2018), 19–28.10.17951/a.2018.72.1.19-28Search in Google Scholar

[8] Chatzarakis, G. E.—Grace, S. R.—Jadlovská, I.: Oscillation criteria for third-order delay differential equations, Adv. Difference Equ. 2017 (2017), Art. No. 330.10.1186/s13662-017-1384-ySearch in Google Scholar

[9] Chatzarakis, G. E.—Srinivasan, R.—Thandapani, E.: Oscillation and property B for semi-canonical third-order advanced difference equations, Nonauton. Dyn. Syst. 9 (2022), 11–20.10.1515/msds-2021-0142Search in Google Scholar

[10] Chatzarakis, G. E.—Deepalakshmi, R.—Saravanan, S.—Thandapani, E.: Third-order neutral difference equations: improved oscillation criteria via linearization method, Carpathian J. Math. 41 (2025), 57–67.Search in Google Scholar

[11] Džurina, J.—Jadlovská, I.: A note on oscillation of second-order delay differential equations, Appl. Math. Lett. 69 (2017), 126–132.10.1016/j.aml.2017.02.003Search in Google Scholar

[12] Džurina, J.—Jadlovská, I.: Oscillation of N-th order strongly noncanonical delay differential equations, Appl. Math. Lett. 115 (2021), Art. ID 106940.10.1016/j.aml.2020.106940Search in Google Scholar

[13] Graef, J. R.—Jadlovská, I.: Canonical representation of third-order delay dynamic equations on time scales, Differ. Equ. Appl. 16 (2024), 1–18.10.7153/dea-2024-16-01Search in Google Scholar

[14] Hassan, T. S.: Oscillation of third-order nonlinear delay dynamic equations on time scales, Math. Comput. Model 49 (2009) 1573–1586.10.1016/j.mcm.2008.12.011Search in Google Scholar

[15] Jaffer, M. A.—Shanmugapriya, R.: Oscillation for certain third order functional delay difference equations, J. Indian Math. Soc. 88 (2021), 323–333.10.18311/jims/2021/27837Search in Google Scholar

[16] Jadlovská, I.—Chatzarakis, G. E.—Džurina, J.—GRACE, S. R.: On sharp oscillation criteria for general third-order delay differential equations, Mathematics 9(14) (2021), Art. No. 1675.10.3390/math9141675Search in Google Scholar

[17] Nazreen Banu, M.—Mehar Banu, S.: Oscillatory behavior of half-linear third-order delay difference equations, Malaya J. Mat. S(1) (2021), 531–536.10.26637/MJMS2101/0122Search in Google Scholar

[18] Saker, S. H.—Alzabut, J. O.—Mukhaimer, A.: On the oscillatory behavior of a certain class of third-order delay difference equations, Electron. J. Qual. Theory Differ. Equ. 2010 (2010), Art. No. 67.10.14232/ejqtde.2010.1.67Search in Google Scholar

[19] Saker, S. H.—Alzabut, J. O.: Oscillatory behavior of third-order nonlinear difference equations with delayed argument, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 17 (2010), 707–723.Search in Google Scholar

[20] Srinivasan, R.—Graef, J. R.—Thandapani, E.: Asymptotic behavior of semi-canonical third order functional difference equations, J. Difference Equ. Appl. 28, (2022), 547–560.10.1080/10236198.2022.2062233Search in Google Scholar

[21] Vidnyaa, K. S.—Dharuman, C.—Thandapani, E.—Pinelas, S.: Oscillation theorems for third-order nonlinear delay difference equations, Math. Bohem. 144 (2019), 25–37.10.21136/MB.2018.0019-17Search in Google Scholar

[22] Vijayakumar, M.—Tamilvanan, S.—Thandapani, E.: Oscillation of 3rd-order advanced difference eqautions with a negative middle term, J. Math. Comput. Sci. 28(4) (2023), 316–325.10.22436/jmcs.028.04.01Search in Google Scholar