Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

References

[1] Agarwal, R. P.—Grace, S. R.—O’regan, D.: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, Kluwer Academic Publishers, Dordrecht, 2002.10.1007/978-94-017-2515-6Search in Google Scholar

[2] Agarwal, R. P.—Grace, S. R.—O’regan, D.: Oscillation Theory for Second Order Dynamic Equations. Series in Mathematical Analysis and Applications, Vol. 5, Taylor & Francis, Ltd., London, 2003.10.4324/9780203222898Search in Google Scholar

[3] Agarwal, R. P.—Bohner, M.—Li, W.-T.: Nonoscillation and Oscillation: Theory for Functional Differential Equations. Monographs and Textbooks in Pure and Applied Mathematics, Vol. 267, Marcel Dekker, Inc., New York, 2004.10.1201/9780203025741Search in Google Scholar

[4] Baculíková, B.: Oscillatory behavior of the second order noncanonical differential equations, Electron. J. Qual. Theory Differ. Equ. 2019 (2019), Art. No. 89.10.14232/ejqtde.2019.1.89Search in Google Scholar

[5] Baculíková, B.: Oscillation of second-order nonlinear noncanonical differential equations with deviating argument, Appl. Math. Lett. 91 (2019), 68–75.10.1016/j.aml.2018.11.021Search in Google Scholar

[6] Baculíková, B.—Džurina, J.: New asymptotic results for half-linear differential equations with deviating argument, Carpathian J. Math. 38(2) (2022), 327–335.10.37193/CJM.2022.02.05Search in Google Scholar

[7] Berezansky, L.—Domoshnitsky, A.—Koplatadze, R.: Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations, CRC Press, 2020.10.1201/9780429321689Search in Google Scholar

[8] Bohner, M.—Vidhyaa, K. S.—Thandapani, E.: Oscillation of noncanonical second-order advanced differential equations via canonical transform, Constr. Math. Anal. 5(1) (2022), 7–13.10.33205/cma.1055356Search in Google Scholar

[9] Bohner, M.—Grace, S. R.—Jadlovská, I.: Sharp results for oscillation of second-order neutral delay differential equations, Electron. J. Qual. Theory Differ. Equ. 2023 (2023), Art. No. 4.10.14232/ejqtde.2023.1.4Search in Google Scholar

[10] Chatzarakis, G. E.—Džurina, J.—Jadlovská, I.: New oscillation criteria for second-order half-linear advanced differential equations, Appl. Math. Comput. 347 (2019), 404–416.10.1016/j.amc.2018.10.091Search in Google Scholar

[11] Chatzarakis, G. E.—Moaaz, O.—Li, T.—Qaraad, B.: Some oscillation theorems for nonlinear second-order differential equations with an advanced argument, Adv. Difference Equ. 2020 (2020), Art. No. 160.10.1186/s13662-020-02626-9Search in Google Scholar

[12] Domoshnitsky, A.—Levi, S.—Kappel, R. H.—Litsyn, E.—Yavich, R.: Stability of neutral delay differential equations with applications in a model of human balancing, Math. Model. Nat. Phenom. 16 (2021), Art. No. 21.10.1051/mmnp/2021008Search in Google Scholar

[13] Došlý, O.—ŘeháK, P.: Half-Linear Differential Equations, Elsevier, 2005.10.1155/JIA.2005.535Search in Google Scholar

[14] Džurina, J.: Oscillation of second order advanced differential equations, Electron. J. Qual. Theory Differ. Equ. 2018 (2018), Art. No. 20.10.14232/ejqtde.2018.1.20Search in Google Scholar

[15] 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

[16] Graef, J.—Grace, S.—Tunç, E.: Oscillation criteria for even-order differential equations with unbounded neutral coefficients and distributed deviating arguments, Funct. Differ. Equ. 25(3–4) (2018), 143–153.Search in Google Scholar

[17] Hale, J. K.: Functional Differential Equations. Appl. Math. Sci., Vol. 3, Springer-Verlag New York, New York-Heidelberg, 1971.Search in Google Scholar

[18] Indrajith, N.—Graef, J. R.—Thandapani, E.: Kneser-type oscillation criteria for second-order half- linear advanced difference equations, Opuscula Math. 42 (2022), 55–64.10.7494/OpMath.2022.42.1.55Search in Google Scholar

[19] Jadlovská, I.: Oscillation criteria of Kneser-type for second-order half-linear advanced differential equations, Appl. Math. Lett. 106 (2020), Art. ID 106354.10.1016/j.aml.2020.106354Search in Google Scholar

[20] Jadlovská, I.: New criteria for sharp oscillation of second-order neutral delay differential equations, Mathematics 9 (2021), Art. No. 2089.10.3390/math9172089Search in Google Scholar

[21] Jadlovská, I.—DžURINA, J.: Kneser-type oscillation criteria for second-order half-linear delay differential equations, Appl. Math. Comput. 380 (2020), Art. ID 125289.10.1016/j.amc.2020.125289Search in Google Scholar

[22] Li, T.—Rogovchenko, Y. V.: Oscillation of second-order neutral differential equations, Math. Nachr. 288(10) (2015), 1150–1162.10.1002/mana.201300029Search in Google Scholar

[23] Li, T.—Rogovchenko, Y. V.: Oscillation criteria for even-order neutral differential equations, Appl. Math. Lett. 61 (2016), 35–41.10.1016/j.aml.2016.04.012Search in Google Scholar

[24] Li, T.—Zhang, C.: Properties of third-order half-linear dynamic equations with an unbounded neutral coefficient, Adv. Difference Equ. 2013 (2013), Art. No. 333.10.1186/1687-1847-2013-333Search in Google Scholar

[25] Li, T.—Han, Z.—Zhang, C.—Li, H.: Oscillation criteria for second-order superlinear neutral differential equations, Abstr. Appl. Anal. 2011, Art. ID 367541.10.1155/2011/367541Search in Google Scholar

[26] Li, T.—Agarwal, R. P.—Bohner, M.: Some oscillation results for second-order neutral differential equations, J. Indian Math. Soc. (N.S.) 79(1–4) (2012), 97–106.10.1186/1687-1847-2012-227Search in Google Scholar

[27] Li, T.—Frassu, S.—Viglialoro, G.: Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption, Z. Angew. Math. Phys. 74(3) (2023), Art. No. 109.10.1007/s00033-023-01976-0Search in Google Scholar

[28] Li, T.—Pintus, N.—Viglialoro, G.: Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys. 70(3) (2019), Art. No. 86.10.1007/s00033-019-1130-2Search in Google Scholar

[29] Li, T.—Viglialoro, G.: Boundedness for a nonlocal reaction chemotaxis model even in the attraction- dominated regime, Differential Integral Equations 34(5–6) (2021), 315–336.10.57262/die034-0506-315Search in Google Scholar

[30] Moaaz, O.—Elabbasy, E. M.—Qaraad, B.: An improved approach for studying oscillation of generalized Emden-Fowler neutral differential equation, J. Inequal. Appl. 2020 (2020), Art. No. 69.10.1186/s13660-020-02332-wSearch in Google Scholar

[31] Saker, S.: Oscillation Theory of Delay Differential and Difference Equations: Second and Third Orders, LAP Lambert Academic Publishing, 2010.Search in Google Scholar

[32] Shi, S.—Han, Z.: Oscillation of second-order half-linear neutral advanced differential equations, Commun. Appl. Math. Comput. 3 (2021), 497–508.10.1007/s42967-020-00092-4Search in Google Scholar

[33] Shi, S.—Han, Z.: A new approach to the oscillation for the difference equations with several variable advanced arguments, J. Appl. Math. Comput. 68(3) (2022), 2083–2096.10.1007/s12190-021-01605-xSearch in Google Scholar

[34] Smith, F. E.: Population dynamics in daphnia magna and a new model for population growth, Ecology 44 (1963), 651–663.10.2307/1933011Search in Google Scholar

[35] Tuncç, E.—Özdemir, O.: Comparison theorems on the oscillation of even order nonlinear mixed neutral differential equations, Math. Methods Appl. Sci. 46(1) (2023), 631–640.10.1002/mma.8534Search in Google Scholar