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Oscillations of equations caused by several deviating arguments

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given. More precisely, sufficient conditions, involving limsup and liminf, are obtained, which essentially improve several known criteria existing in the literature. Examples illustrating the results are also given, numerically solved in MATLAB.
Rocznik
Strony
321--353
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
  • School of Pedagogical and Technological Education (ASPETE) Department of Electrical and Electronic Engineering Educators 14121, N. Heraklio, Athens, Greece
Bibliografia
  • [1] E. Braverman, G.E. Chatzarakis, LP. Stavroulakis, Iterative oscillation tests for differential equations with several non-monotone arguments, Adv. Difference Equ. (2016), 2016:87, 18 pp.
  • [2] G.E. Chatzarakis, Differential equations with non-monotone arguments: Iterative Oscillation results, J. Math. Comput. Sci. 6 (2016) 5, 953-964.
  • [3] G.E. Chatzarakis, H. Peics, Differential equations with several non-monotone arguments: An oscillation result, Appl. Math. Lett. 68 (2017), 20-26.
  • [4] G.E. Chatzarakis, Oscillations caused by several non-monotone deviating arguments, Differ. Equ. Appl. 9 (2017) 3, 285-310.
  • [5] G.E. Chatzarakis, I. Jadlovska, Explicit criteria for the oscillation of differential equations with several arguments, Dynamic Systems and Applications 28 (2019) 2, 217-242.
  • [6] G.E. Chatzarakis, Tongxing Li, Oscillations of differential equations generated by several deviating arguments, Adv. Difference Equ. (2017) 2017:292, 24 pp.
  • [7] L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
  • [8] L.H. Erbe, B.G. Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations 1 (1988), 305-314.
  • [9] N. Fukagai, T. Kusano, Oscillation theory of first order functional-differential equations with deviating arguments, Ann. Mat. Pura Appl. 136 (1984), 95-117.
  • [10] M.K. Grammatikopoulos, M.R.S. Kulenovic, First order functional differential inequalities with oscillating coefficients, Nonlinear Analysis TMA 8 (1984) 9, 1043-1054.
  • [11] B.R. Hunt, J.A. Yorke, When all solutions of x'(t) = -J2ii(t)x(t~Ti(t)) oscillate, J. Differential Equations 53 (1984), 139-145.
  • [12] J. Jaros, I.P. Stavroulakis, Oscillation tests for delay equations, Rocky Mountain J. Math. 45 (2000), 2989-2997.
  • [13] M. Kon, Y.G. Sficas, I.P. Stavroulakis, Oscillation criteria for delay equations, Proc. Amer. Math. Soc. 128 (1994), 675-685.
  • [14] R.G. Koplatadze, T.A. Chanturija, Oscillating and monotone solutions of first-order differential equations with deviating argument, DifferentsiaFnye Uravneniya 18 (1982), 1463-1465, 1472 [in Russian].
  • [15] R.G. Koplatadze, G. Kvinikadze, On the oscillation of solutions of first order delay differential inequalities and equations, Georgian Math. J. 3 (1994), 675-685.
  • [16] T. Kusano, On even-order functional-differential equations with advanced and retarded arguments, J. Differential Equations 45 (1982), 75-84.
  • [17] M.K. Kwong, Oscillation of first-order delay equations, J. Math. Anal. Appl. 156 (1991), 274-286.
  • [18] G. Ladas, V. Lakshmikantham, L.S. Papadakis, Oscillations of higher-order retarded differential equations generated by the retarded arguments, Delay and Functional Differential Equations and their Applications, Academic Press, New York, 1972, 219-231.
  • [19] G. Ladas, I.P. Stavroulakis, Oscillations caused by several retarded and advanced arguments, J. Differential Equations 44 (1982), 134-152.
  • [20] G.S. Ladde, Oscillations caused by retarded perturbations of first order linear ordinary differential equations, Atti Acad. Naz. Lincei Rendiconti 63 (1978), 351-359.
  • [21] G.S. Ladde, V. Lakshmikantham, B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Monographs and Textbooks in Pure and Applied Mathematics, vol. 110, Marcel Dekker, Inc., New York, 1987.
  • [22] X. Li, D. Zhu, Oscillation and nonoscillation of advanced differential equations with variable coefficients, J. Math. Anal. Appl. 269 (2002), 462-488.
  • [23] A.D. Myshkis, Linear homogeneous differential equations of first order with deviating arguments, Uspekhi Mat. Nauk 5 (1950), 160-162 [in Russian].
  • [24] J.S. Yu, Z.C. Wang, B.G. Zhang, X.Z. Qian, Oscillations of differential equations with deviating arguments, Panamer. Math. J. 2 (1992) 2, 59-78.
  • [25] B.G. Zhang, Oscillation of solutions of the first-order advanced type differential equations, Science Exploration 2 (1982), 79-82.
  • [26] D. Zhou, On some problems on oscillation of functional differential equations of first order, J. Shandong University 25 (1990), 434-442.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ae9152c9-9f62-4bde-a9ae-74a90c364db4
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