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New aspects for the oscillation of first-order difference equations with deviating arguments

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.
Rocznik
Strony
393--413
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
  • Prince Sattam Bin Abdulaziz University, College of Sciences and Humanities in Alkharj, Department of Mathematics, Alkharj 11942, Saudi Arabia
  • Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
  • Qassim University, College of Science and Arts, Department of Mathematics, Al-Badaya, Buraidah, Saudi Arabia
  • Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
Bibliografia
  • [1] P.G. Asteris, G.E. Chatzarakis, Oscillation tests for difference equations with non-monotone arguments, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 24 (2017), no. 4, 287–302.
  • [2] E.R. Attia, Oscillation tests for first-order linear differential equations with non-monotone delays, Adv. Differ. Equ. 2021 (2021), Article no. 41.
  • [3] E.R. Attia, G.E. Chatzarakis, Oscillation tests for difference equations with non-monotone retarded arguments, Appl. Math. Lett. 123 (2022), 107551.
  • [4] E.R. Attia, G.E. Chatzarakis, Iterative oscillation criteria for first-order difference equations with non-monotone advanced arguments, J. Appl. Math. Comput. (2021), 1–17.
  • [5] E. Braverman, G.E. Chatzarakis, I.P. Stavroulakis, Iterative oscillation tests for difference equations with several non-monotone arguments, J. Difference Equ. Appl. 21 (2015), 854–874.
  • [6] E. Braverman, B. Karpuz, On oscillation of differential and difference equations with non-monotone delays, Appl. Math. Comput. 218 (2011), 3880–3887.
  • [7] G.E. Chatzarakis, Sufficient oscillation conditions for deviating difference equations, Filomat 33 (2019), 3291–3305.
  • [8] G.E. Chatzarakis, I. Jadlovská, Oscillations in deviating difference equations using an iterative technique, J. Inequal. Appl. 173 (2017), 1–24.
  • [9] G.E. Chatzarakis, I. Jadlovská, Improved iterative oscillation tests for first-order deviating difference equations, Int. J. Difference Equ. 12 (2017), 185–210.
  • [10] G.E. Chatzarakis, I. Jadlovská, Oscillations of deviating difference equations using an iterative method, Mediterr. J. Math. 16 (2019), 1–20.
  • [11] G.E. Chatzarakis, L. Shaikhet, Oscillation criteria for difference equations with non-monotone arguments, Adv. Differ. Equ. 62 (2017), 1–16.
  • [12] G.E. Chatzarakis, I.P. Stavroulakis, Oscillation of difference equations with general advanced argument, Cent. Eur. J. Math. 10 (2012), 807–823.
  • [13] G.E. Chatzarakis, S.R. Grace, I. Jadlovská, Oscillation tests for linear difference equations with non-monotone arguments, Tatra Mt. Math. Publ. 79 (2021), 81–100.
  • [14] G.E. Chatzarakis, R. Koplatadze, I.P. Stavroulakis, Oscillation criteria of first order linear difference equations with delay argument, Nonlinear Anal. 68 (2008), 994–1005.
  • [15] G.E. Chatzarakis, R. Koplatadze, I.P. Stavroulakis, Optimal oscillation criteria of first order linear difference equations with delay argument, Pacific J. Math. 235 (2008), 15–33.
  • [16] G.E. Chatzarakis, Ch.G. Philos, I.P. Stavroulakis, An oscillation criterion for linear difference equations with general delay argument, Port. Math. 66 (2009), 513–533.
  • [17] G.E. Chatzarakis, I.K. Purnaras, I.P. Stavroulakis, Oscillation of retarded difference equations with a non-monotone argument, J. Difference Equ. Appl. 23 (2017), 1354–1377.
  • [18] L.H. Erbe, Q.K. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
  • [19] I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
  • [20] B. Karpuz, Sharp oscillation and nonoscillation tests for linear difference equations, J. Difference Equ. Appl. 23 (2017), 1929–1942.
  • [21] J. Shen, I.P. Stavroulakis, Oscillation criteria for delay difference equations, Electron. J. Differential Equations 2001 (2001), 1–15.
  • [22] I.P. Stavroulakis, Oscillations of delay difference equations, Comput. Math. Appl. 29 (1995), 83–88.
  • [23] I.P. Stavroulakis, Oscillation criteria for first order delay difference equations, Mediterr. J. Math. 1 (2004), 231–240.
  • [24] I.P. Stavroulakis, Oscillation criteria for delay and difference equations with non-monotone arguments, Appl. Math. Comput. 226 (2014), 661–672.
  • [25] B.G. Zhang, C.J. Tian, Nonexistence and existence of positive solutions for difference equations with unbounded delay, Comput. Math. Appl. 36 (1998), 1–8.
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-1e313f78-6ea2-49fa-88eb-e94b02e617a2
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