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Oscillatory properties of solutions of the fourth order difference equations with quasidifferences

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A class of fourth-order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four-dimensional difference system. The sufficient conditions under which the considered equation has no quickly oscillatory solutions are given. Finally, the sufficient conditions under which the equation is almost oscillatory are presented.
Rocznik
Strony
789--797
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Lodz University of Technology Institute of Mathematics Wólczanska 215, 90–924 Łódz, Poland
autor
  • University of Bialystok Faculty of Mathematics and Computer Science Akademicka 2, 15–267 Białystok, Poland
autor
  • University of Bialystok Faculty of Mathematics and Computer Science Akademicka 2, 15–267 Białystok, Poland
Bibliografia
  • [1] R.P. Agarwal, Difference equations and inequalities. Theory, methods and applications, Marcel Dekker, Inc., New York, 1992.
  • [2] R.P. Agarwal, M. Bohner, S.R. Grace, D. O’Regan, Discrete Oscillation Theory, Hindawi Publishing Corporation, New York, 2005.
  • [3] R.P. Agarwal, S.R Grace, J.V Manojlovic On the oscillatory properties of certain fourth order nonlinear difference equations, Math. Anal. Appl. 322 (2006), 930–956.
  • [4] R.P. Agarwal, J.V. Manojlovic, Asymptotic behavior of nonoscillaory solutions of fourth order nonlinear difference equations, Dyn. Contin. Discrete Impuls. Syst. Ser. A, Math. Anal. 16 (2009), 155–174.
  • [5] Z. Došlá, J. Krejcová, Oscillation of a class of the fourth-order nonlinear difference equations, Adv. Difference Equ., doi:10.1186/1687-1847-2012-99, (2012).
  • [6] W.G. Kelly, A.C. Peterson, Difference equations, Academic Press, Inc., Boston-San Diego, 1991.
  • [7] M. Migda, J. Migda, Asymptotic properties of solutions of second-order neutral difference equations, Nonlinear Anal. 63 (2005), e789–e799.
  • [8] M. Migda, E. Schmeidel, Asymptotic properties of fourth order nonlinear difference equations, Math. Comput. Modelling 39 (2004), 1203–1211.
  • [9] M. Migda, A. Musielak, E. Schmeidel, On a class of fourth order nonlinear difference equations, Adv. Difference Equ. 1 (2004), 23–36.
  • [10] M. Migda, A. Musielak, E. Schmeidel, Oscillatory of fourth order nonlinear difference equations with quasidifferences, Opuscula Math. 26 (2006), 371–380.
  • [11] J. Popenda, E. Schmeidel, On the solution of fourth order difference equations, Rocky Mt. J. Math. 25 (1995), 1485–1499.
  • [12] E. Schmeidel, Oscillation and nonoscillation theorems for fourth order difference equations, Rocky Mt. J.Math. 33 (2003), 1083–1094.
  • [13] E. Schmeidel, Nonscillation and oscillation properties for fourth order nonlinear difference equations, New Progress in Difference Equations, B. Aulbach, S. Elaydi, G. Ladas (eds.), CRC, Boca Raton, FL, (2004), 531–538.
  • [14] E. Schmeidel, B. Szmanda, Oscillatory and asymptotic behavior of certain difference equation, Nonlinear Anal. 47 (2001), 4731–4742.
  • [15] B. Smith, W.E. Taylor, Oscillatory and asymptotic behavior of certain fourth order difference equations Rocky Mt. J. Math. 16 (1986), 403–406.
  • [16] E. Thandapani, J.R. Graef, Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations Fasc. Math. 31 (2001), 23–36.
  • [17] E. Thandapani, S. Pandian, R. Dhanasekaran, J. Graef, Asymptotic results for a class of fourth order quasilinear difference equations J. Differ. Equ. Appl. 13 (2007), 1085–1103.
  • [18] E. Thandapani, I.M. Arockiasamy, On fourth order nonlinear oscillations of difference equations Comput. Math. Appl. 42 (2001), 357–368.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6446e20e-c98b-4ebd-9141-c49ac9393b17
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