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Oscillation of even order linear functional differential equations with mixed deviating arguments

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Języki publikacji
EN
Abstrakty
EN
In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations y (n)(t) = p(t)y(τ (t)) with mixed deviating arguments, i.e. when both delayed and advanced parts of τ (t) are significant. The presented results essentially improve existing ones.
Rocznik
Strony
549--560
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
  • Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Mathematics, Letná 9, 042 00 Košice, Slovakia
Bibliografia
  • [1] R.P. Agarwal, S.R. Grace, D. O’Regan, Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations, Kluver Academic Publishers, Dotrecht, 2002.
  • [2] B. Baculikova, Oscillation of second-order nonlinear noncanonical differential equations with deviating argument, Appl. Math. Lett. 91 (2019), 68–75.
  • [3] B. Baculikova, Oscillatory behavior of the second order noncanonical differential equation, Electron. J. Qual. Theory Differ. Equ. 2019, no. 89, 1–17.
  • [4] B. Baculikova, Oscillation and asymptotic properties of second order half-linear differential equations with mixed deviating arguments, Mathematics 2021, 9(20), 2552.
  • [5] G.E. Chatzarakis, B. Dorociakova, R. Olah, An oscillation criterion of linear delay differential equations, Adv. Difference Equ. (2021), Article no. 85.
  • [6] O. Došly, P. Řehák, Half-linear Differential Equations, vol. 202, North-Holland Mathematics Studies, 2005.
  • [7] J. Dzurina, I. Jadlovska, Oscillation of n-th order strongly noncanonical delay differential equations, Appl. Math. Lett. 115 (2021), Article no. 106940.
  • [8] S.R. Grace, I. Jadlovska, A. Zafer, Oscillatory behavior of n-th order nonlinear delay differential equations with a nonpositive neutral term, Hacet. J. Math. Stat. 49 (2021), no. 2, 766–776.
  • [9] I.T. Kiguradze, T.A. Chaturia, Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Kluwer Acad. Publ., Dordrecht, 1993.
  • [10] R. Koplatadze, On differential equations with a delayed argument having properties A and B, Differ. Uravn. (Minsk) 25 (1989), 1897–1909.
  • [11] R. Koplatadze, T.A. Chanturia, On oscillatory properties of differential equations with deviating arguments, Tbilisi Univ. Press, Tbilisi, 1977.
  • [12] R. Koplatadze, G. Kvinkadze, I.P. Stavroulakis, Properties A and B of n-th order linear differential equations with deviating argument, Georgian Math. J. 6 (1999), no. 6, 553–566.
  • [13] T. Kusano, On even order functional differential equations with advanced and retarded arguments, J. Differential Equations 45 (1982), no. 1, 75–84.
  • [14] T. Kusano, Oscillation of even order linear functional differential equations with deviating arguments of mixed type, J. Math. Anal. Appl. 98 (1984), 341–347.
  • [15] G. Ladas, V. Lakshmikantham, J.S. Papadakis, B.G. Zhang, Oscillation of higher-order retarded differential equations generated by retarded argument, Delay and Functional Differential Equations and Their Applications, pp. 219–231, Academic Press, New York, 1972.
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
bwmeta1.element.baztech-1ab29639-5691-41df-94cc-a11ae656b6d3
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