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The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions. As in this paper, this type of solution emerges when considering the noncanonical case of even equations. By finding a better estimate of the ratio between the Kneser solution with and without delay, we obtain new constraints that ensure that all solutions to the considered equation oscillate. The new findings improve some previous findings in the literature.
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Rocznik
Tom
Strony
455--467
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
- Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
autor
- Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
autor
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
autor
- School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Bibliografia
- [1] R.P. Agarwal, S.R. Grace, D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Marcel Dekker: Kluwer Academic, Dordrecht, 2000.
- [2] R.P. Agarwal, S.L. Shieh, C.C. Yeh, Oscillation criteria for second order retarded differential equations, Math. Comput. Model. 26 (1997), 1–11.
- [3] B. Baculíková, J. Džurina, J.R. Graef, On the oscillation of higher-order delay differential equations, J. Math. Sci. (N.Y.) 187 (2012), no. 4, 387–400.
- [4] D.D. Bainov, D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, New York, NY, USA, 1991.
- [5] J. Džurina, S.R. Grace, I. Jadlovská, T. Li, Oscillation criteria for second-order Emden–Fowler delay differential equations with a sublinear neutral term, Math. Nachr. 293 (2020), no. 5, 910–922.
- [6] J. Džurina, I. Jadlovská, A note on oscillation of second-order delay differential equations, Appl. Math. Lett. 69 (2017), 126–132.
- [7] J. Džurina, I. Jadlovská, I.P. Stavroulakis, Oscillatory results for second-order noncanonical delay differential equations, Opuscula Math. 39 (2019), no. 4, 483–495.
- [8] J. Graef, S. Grace, E. Tunç, Oscillation criteria for even-order differential equations with unbounded neutral coefficients and distributed deviating arguments, Funct. Differ. Equ. 25 (2018), 143–153.
- [9] J.K. Hale, Theory of Functional Differential Equations, Spring-Verlag, New York, 1977.
- [10] G.S. Ladde, V. Lakshmikantham, B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
- [11] T. Li, N. Pintus, G. Viglialoro, Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys. 70 (2019), no. 86, 1–18.
- [12] T. Li, Yu.V. Rogovchenko, On asymptotic behavior of solutions to higher-order sublinear Emden–Fowler delay differential equations, Appl. Math. Lett. 67 (2017), 53–59.
- [13] T. Li, Yu.V. Rogovchenko, On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett. 105 (2020), 106293, 1–7.
- [14] O. Moaaz, E.M. Elabbasy, A. Muhib, Oscillation criteria for even-order neutral differential equations with distributed deviating arguments, Adv. Difference Equ. 2019 (2019), no. 297.
- [15] O. Moaaz, A. Muhib, New oscillation criteria for nonlinear delay differential equations of fourth-order, Appl. Math. Comput. 377 (2020), 125192.
- [16] O. Moaaz, C. Park, A. Muhib, O. Bazighifan, Oscillation criteria for a class of even-order neutral delay differential equations, J. Appl. Math. Comput. 63 (2020), 607–617.
- [17] Ch.G. Philos, A new criterion for the oscillatory and asymptotic behavior of delay differential equations, Bull. Acad. Pol. Sci., Ser. Sci. Math. 39 (1981), 61–64.
- [18] H. Ramos, O. Moaaz, A. Muhib, J. Awrejcewicz, More effective results for testing oscillation of non-canonical NDDEs, Mathematics 9 (2021), 111.
- [19] S.H. Saker, Oscillation Theory of Delay Differential and Difference Equations, VDM Verlag Dr: Muller Saarbrucken, Saarbrucken, Germany, 2010.
- [20] C. Zhang, R.P. Agarwal, M. Bohner, T. Li, New results for oscillatory behavior of even-order half-linear delay differential equations, Appl. Math. Lett. 26 (2013), 179–183.
- [21] C. Zhang, T. Li, B. Sun, E. Thandapani, On the oscillation of higher-order half-linear delay differential equations, Appl. Math. Lett. 24 (2011), 1618–1621.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)
Typ dokumentu
Bibliografia
Identyfikator YADDA
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