PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this equation to be either oscillatory or converging to zero. The result is illustrated with examples.
Rocznik
Strony
361--369
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Poznań University of Technology, Institute of Mathematics, Faculty of Electrical Engineering, ul. Piotrowo 3a, 60-965 Poznań, Poland, eschmeid@math.put.poznan.pl
Bibliografia
  • [1] Agarwal R. P., Difference Equations and Inequalities. Theory, Methods and Applications, Marcel Dekker, Inc., New York, 2000 (2nd ed.).
  • [2] Andruch-Sobiło A., Migda M., Bounded solutions of third order nonlinear difference equations, Rocky Mountain Journal of Mathematics 36 (2006) 1, 23-24.
  • [3] Dosla Z., Kobza A., Global asymptotic properties of third order difference equations, Computers and Mathematics with Applications 48, 1-2 (2004), 191-200.
  • [4] Elaydi S.N., An Introduction to Difference Equations, Springer, 1996.
  • [5] Graef J.R., Thandapani E., Oscillatory and asymptotic behavior of solutions of third order delay difference equations, Funkcialaj Ekvacioj 42 (1999) 3, 355-369.
  • [6] Kelley W. G., Peterson A. C, Difference Equations, an Introduction with Applications, Academic Press, 1991.
  • [7] Kobza A., Property A for third order difference equations, Studies of the University of Zilina, Mathematical Series 17 (2003), 109-114.
  • [8] Migda M., On the discrete version of generalized Kiguradzes Lemma, Facsiculi Mathematici 35 (2005), 77-84.
  • [9] Migda M., Schmeidel E., Drozdowicz A., Nonoscillation results for some third order nonlinear difference equation, Folia Facultatis Scientiarium Naturalium Universitatis Masarykianae Brunensis Mathematica 13 (2003), 185-192.
  • [10] Popenda J., Schmeidel J., Nonoscillatory solutions of third order difference equations, Portugaliae Mathematica 49 (1992), 233-239.
  • [11] Saker S.H., Oscillation of third-order difference equations, Portugaliae Mathematica 61 (2004) 3, 249-257.
  • [12] Smith B., Oscillatory and asymptotic behavior in certain third order difference equations, Rocky Mountain Journal of Mathematics 17 (1987) 3, 597-606.
  • [13] Smith B., Oscillation and no oscillation theorems for third order quasi-adjoint difference equations, Portugaliae Mathematica 45 (1988) 3, 229-243.
  • [14] Smith B., Taylor W. E., Oscillatory and asymptotic behavior of certain fourth order difference equations, Rocky Mountain Journal of Mathematics 16 (1986) 2, 403-406.
  • [15] Thandapani E., Mahalingam K., Oscillatory properties of third order neutral delay difference equations, Demonstratio Mathematica 35 (2002), 325-337.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0007-0025
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.