Oscillation and asymptotic criteria for certain third-order neutral differential equations involving distributed deviating arguments

References

[1] Ademola, A.—Arawomo, P.—Adesina, O.—Okoya, S.: On the behaviour of solutions to a kind of third order nonlinear neutral differential equation with delay, Turk. J. Math. 46 (2022), 3139–3158.10.55730/1300-0098.3324Search in Google Scholar

[2] Al Themairi, A.—Qaraad, B.—Bazighifan, O.—Nonlaopon, K.: Third-order neutral differential equations with damping and distributed delay: New asymptotic properties of solutions, Symmetry 14 (2022), Art. 2192.10.3390/sym14102192Search in Google Scholar

[3] Aldiaiji, M.—Qaraad, B.—Iambor, L. F.—Elabbasy, E. M.: On the asymptotic behavior of class of third-order neutral differential equations with symmetrical and advanced argument, Symmetry 15 (2023), Art. 1156.10.3390/sym15061165Search in Google Scholar

[4] Alzabut, J.—Grace, S. R.—Santra, S. S.—Chhatria, G. N.: Asymptotic and oscillatory behaviour of third order non-linear differential equations with canonical operator and mixed neutral terms, Qual. Theory Dyn. Syst. 22 (2023), Art. 15.10.1007/s12346-022-00715-6Search in Google Scholar

[5] Baculíková, B.—Džurina, J.: On the asymptotic behavior of a class of third order nonlinear neutral differential equations, Cent. Eur. J. Math. 8 (2010), 1091–1103.10.2478/s11533-010-0072-xSearch in Google Scholar

[6] Baculíková, B.—Džurina, J.: Oscillation of third-order neutral differential equations, Math. Comput. Model. 52 (2010), 215–226.10.1016/j.mcm.2010.02.011Search in Google Scholar

[7] Baculíková, B.—Džurina, J.: On certain inequalities and their applications in the oscillation theory, Adv. Differ. Equ. 2013 (2013), Art. 165.10.1186/1687-1847-2013-165Search in Google Scholar

[8] Bartušek, M.: Oscillation of third-order neutral differential equations with oscillatory operator, Turk. J. Math. 46 (2022), 3069–3082.10.55730/1300-0098.3320Search in Google Scholar

[9] Candan, T.: Oscillation criteria and asymptotic properties of solutions of third-order nonlinear neutral differential equations, Math. Methods Appl. Sci. 38 (2015), 1379–1392.10.1002/mma.3153Search in Google Scholar

[10] Chatzarakis, G. E.—Grace, S. R.—Jadlovská, I.—LI, T.—Tunç, E.: Oscillation criteria for third-order Emden-Fowler differential equations with unbounded neutral coefficients, Complexity 2019 (2019), Art. ID 5691758.10.1155/2019/5691758Search in Google Scholar

[11] Džurina, J.—Thandapani, E.—Tamilvanan, S.: Oscillation of solutions to third-order half-linear neutral differential equations, Electron. J. Diff. Equ. 2012 (2012), Art. 29.10.7153/dea-04-23Search in Google Scholar

[12] Feng, L.—Sun, S.: Oscillation of second-order Emden-Fowler neutral differential equations with advanced and delay arguments, Bull. Malays. Math. Sci. Soc. 43 (2020), 3777–3790.10.1007/s40840-020-00901-2Search in Google Scholar

[13] Feng, L.—Han, Z.: Oscillation of a class of third-order neutral differential equations with noncanonical operators, Bull. Malays. Math. Sci. Soc. 44 (2021), 2519–2530.10.1007/s40840-021-01079-xSearch in Google Scholar

[14] Feng, Q.—Zheng, B.: Oscillation criteria for nonlinear third-order delay dynamic equations on time scales involving a super-linear neutral term, Fractal Fract. 8 (2024), Art. 115.10.3390/fractalfract8020115Search in Google Scholar

[15] Fu, Y.—Tian, Y.—Jiang, C.—Li, T.: On the asymptotic properties of nonlinear third-order neutral delay differential equations with distributed deviating arguments, J. Funct. Space. 2016 (2016), Art. ID 3954354.10.1155/2016/3954354Search in Google Scholar

[16] Grace, S. R.—Graef, J. R.—Tunç, E.: On oscillatory behavior of third order half-linear delay differential equations, Math. Slovaca. 73 (2023), 729–736.10.1515/ms-2023-0053Search in Google Scholar

[17] Grace, S. R.—Jadlovská, I.—Tunç, E.: Oscillatory and asymptotic behavior of third-order nonlinear differential equations with a superlinear neutral term, Turk. J. Math. 44 (2020), 1317–1329.10.3906/mat-2004-85Search in Google Scholar

[18] Graef, J. R.—Jadlovská, I.—Tunç, E.: New oscillation criteria for odd-order neutral differential equations, Nonlinear Stud. 29 (2022), 347–352.10.26351/FDE/29/1-2/4Search in Google Scholar

[19] Graef, J. R.—Grace, S. R.—Jadlovská, I.—Tunç, E.: Some new oscillation results for higher-order nonlinear differential equations with a nonlinear neutral term, Mathematics 10 (2022), Art. 2997.10.3390/math10162997Search in Google Scholar

[20] Graef, J. R.—Jadlovská, I.—Tunç, E.: Oscillation of odd-order differential equations with a non-positive sublinear neutral term and distributed deviating arguments, Appl. Anal. Discret. Math. 16 (2022), 350–364.10.2298/AADM200918012GSearch in Google Scholar

[21] Hassan, T. S.—Sun, Y. G.—Menaem, A. A.: Improved oscillation results for functional nonlinear dynamic equations of second order, Mathematics 8 (2020), Art. 1897.10.3390/math8111897Search in Google Scholar

[22] Hassan, T. S.—El-Matary, B. M.: Asymptotic behavior and oscillation of third-order nonlinear neutral differential equations with mixed nonlinearities, Mathematics 11 (2023), Art. 424.10.3390/math11020424Search in Google Scholar

[23] Jiang, Y.—Jiang, C.—Li, T.: Oscillatory behavior of third-order nonlinear neutral delay differential equations, Adv. Differ. Equ. 2016 (2016), Art. 171.10.1186/s13662-016-0902-7Search in Google Scholar

[24] Jiang, C.—Jiang, Y.—Li, T.: Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments, Adv. Differ. Equ. 2016 (2016), Art. 105.10.1186/s13662-016-0833-3Search in Google Scholar

[25] Ladde, G. S.—Lakshmikantham, V.—Zhang, B. G.: Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York, 1987.Search in Google Scholar

[26] Li, H.—Zhao, Y.—Han, Z.: New oscillation criterion for Emden-Fowler type nonlinear neutral delay differential equations, J. Appl. Math. Comput. 60 (2019), 191–200.10.1007/s12190-018-1208-6Search in Google Scholar

[27] Li, W.—Yu, Y.: Oscillatory behavior of third-order nonlinear differential equations with a sublinear neutral term, Acta Math. Appl. Sin. Engl. Ser. 38 (2022), 484–496.10.1007/s10255-022-1089-1Search in Google Scholar

[28] Liu, Q.—Grace, S. R.—Jadlovská, I.—Tunç, E.—Li, T.: On the asymptotic behavior of noncanonical third-order Emden-Fowler delay differential equations with a superlinear neutral term, Mathematics 10 (2022), Art. 2920.10.3390/math10162902Search in Google Scholar

[29] Moaaz, O.—Alnafisah, Y.: An improved approach to investigate the oscillatory properties of third-order neutral differential equations, Mathematics 11 (2023), Art. 2290.10.3390/math11102290Search in Google Scholar

[30] Moaaz, O.—Muhib, A.—Ahmad, H.—Muhsin, W.: Iterative criteria for oscillation of third-order delay differential equations with p-Laplacian operator, Math. Slovaca 73 (2023), 703–712.10.1515/ms-2023-0051Search in Google Scholar

[31] Özdemir, O.—Tunç, E.: Asymptotic behavior and oscillation of solutions of third order neutral dynamic equations with distributed deviating arguments, Bull. Math. Anal. Appl. 10 (2018), 31–52.Search in Google Scholar

[32] Philos, C. G.: On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays, Arch. Math. (Basel) 36 (1981), 168–178.10.1007/BF01223686Search in Google Scholar

[33] Qaraad, B.—Moaaz, O.—Baleanu, D.—Santra, S. S.—Ali, R.—Elabbasy, E. M.: Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior, Math. Biosci. Eng. 19 (2022), 1649–1658.10.3934/mbe.2022077Search in Google Scholar PubMed

[34] Qaraad, B.—Bazighifan, O.—Ali, A. H.—Al-Moneef, A.A.—Alqarni, A. J.—Nonlaopon, K.: Oscillation results of third-order differential equations with symmetrical distributed arguments, Symmetry 14 (2022), Art. 2038.10.3390/sym14102038Search in Google Scholar

[35] Salem, S.—El-Sheikh, M.—Hassan, A. M.: On the oscillation and asymptotic behavior of solutions of third order nonlinear differential equations with mixed nonlinear neutral terms, Turk. J. Math. 48 (2024), 221–247.10.55730/1300-0098.3503Search in Google Scholar

[36] Shi, S.—Han, Z.: Oscillation of second order mixed functional differential equations with sublinear and superlinear neutral terms, Turk. J. Math. 46 (2022), 3045–3056.10.55730/1300-0098.3317Search in Google Scholar

[37] Sui, Y.—Sun, S.: Oscillation of Emden-Fowler type nonlinear neutral delay dynamic equation on time scales, J. Appl. Math. Comput. 60 (2019), 291–301.10.1007/s12190-018-1214-8Search in Google Scholar

[38] Sui, Y.—Han, Z.: Oscillation of second order neutral dynamic equations with deviating arguments on time scales, Adv. Differ. Equ. 2018 (2018), Art. 337.10.1186/s13662-018-1773-xSearch in Google Scholar

[39] Sui, Y.—Han, Z.: Oscillation of second order nonlinear dynamic equations with a nonlinear neutral term on time scales, J. Appl. Anal. Comput. 8 (2018), 1811–1820.10.11948/2018.1811Search in Google Scholar

[40] Sui, Y.—Han, Z.: Oscillation of third-order nonlinear delay dynamic equation with damping term on time scales, J. Appl. Math. Comput. 58 (2018), 577–599.10.1007/s12190-017-1158-4Search in Google Scholar

[41] Sui, Y.—Sun, S.: Oscillation of third order nonlinear damped dynamic equation with mixed arguments on time scales, Adv. Differ. Equ. 233 (2018), 1–17.10.1186/s13662-018-1654-3Search in Google Scholar

[42] Sun, Y.—Zhao, Y.—Xie, Q.: Oscillation criteria for third-order neutral differential equations with unbounded neutral coefficients and distributed deviating arguments, Turk. J. Math. 46 (2022), 1099–1112.10.55730/1300-0098.3145Search in Google Scholar

[43] Sun, Y.—Zhao, Y.—Xie, Q.: Oscillation and asymptotic behavior of the third-order neutral differential equation with damping and distributed deviating arguments, Qual. Theory Dyn. Syst. 22 (2023), Art. 50.10.1007/s12346-022-00733-4Search in Google Scholar

[44] Sun, Y.—Zhao, Y.: Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments, AIMS Math. 5 (2020), 5076–5093.10.3934/math.2020326Search in Google Scholar

[45] Sun, Y.—Zhao, Y.: Oscillatory behavior of third-order neutral delay differential equations with distributed deviating arguments, J. Inequal. Appl. 2019 (2019), Art. 207.10.1186/s13660-019-2161-0Search in Google Scholar

[46] Sun, Y.—Zhao, Y.: Oscillation criteria for third-order nonlinear neutral differential equations with distributed deviating arguments, Appl. Math. Lett. 111 (2021), Art. 106600.10.1016/j.aml.2020.106600Search in Google Scholar

[47] Sun, Y.—Zhao, Y.: Oscillation theorems and asymptotic behaviour of certain third-order neutral differential equations with distributed deviating arguments, Int. J. Dyn. Syst. Differ. Equ.11 (2021), 174–189.10.1504/IJDSDE.2021.115181Search in Google Scholar

[48] Sun, Y.—Zhao, Y.: Oscillation and asymptotic behavior of third-order nonlinear neutral delay differential equations with distributed deviating arguments, J. Appl. Anal. Comput. 8 (2018), 1796–1810.10.11948/2018.1796Search in Google Scholar

[49] Tian, Y.—Cai, Y.—Fu, Y.—Li, T: Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments, Adv. Differ. Equ. 2015 (2015), Art. 267.10.1186/s13662-015-0604-6Search in Google Scholar

[50] Tunç, E.: Oscillatory and asymptotic behavior of third-order neutral diferential equations with distributed deviating arguments, Electron. J. Diff. Equ. 2017 (2017), Art. 16.10.1186/s13662-017-1187-1Search in Google Scholar

[51] Wang, Y.—Meng, F.—Gu, J.: Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments, Adv. Differ. Equ. 2021 (2021), Art. 515.10.1186/s13662-021-03661-wSearch in Google Scholar

[52] Zhang, Q.—Gao, L.—Yu, Y.: Oscillation criteria for third-order neutral differential equations with continuously distributed delay, Appl. Math. Lett. 25 (2012), 1514–1519.10.1016/j.aml.2012.01.007Search in Google Scholar