PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Convergence and periodic properties of solutions for a class of delay difference equation

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We propose a class of delay difference equation with piecewise constant nonlinearity. The convergence of solutions and the existence of globally asymptotically stable periodic solutions are investigated for such a class of difference equation.
Słowa kluczowe
Rocznik
Tom
Strony
121--128
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
autor
  • College of Mathematics-Physics, Nanhua University Hengyang, Hunan 421001, P.R. China
Bibliografia
  • [1] AFTABIZADEH A.R.. WIENER J., Xu J.M., Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc., 99(1987), 673-679.
  • [2] AFTABIZADEH A.R., WIENER J., Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument, Appl. Anal, 26(1988), 327-338.
  • [3] COOKE K.L., WIENER J., A survey of differential equation with piecewise continuous argument, in Lecture Notes in Mathematics, Vol. 1475, 1-15, Springer-Verlag, Berlin 1991.
  • [4] COOKE K.L., WIENER J., Retarded differential equations with piecewise constant delays, J. Math. Anal Appl, 99(1984), 265-297.
  • [5] ELAYDI S., ZHANG S., Stability and periodicity of difference equations with finite delay, Funkcial Ekvac., 37(1994), 401-403.
  • [6] GYÓRI I., LADAS G., Oscillation theory of delay differential equations with applications, Clarendon, Oxford 1991.
  • [7] KURUKIS S.A., The asymptotic stability of xn+\ - axn + bxn-k = 0, J. Math. Anal. Appl., 188(1994), 719-731.
  • [8] Kocic V.L., L ADAS G., Global attractivity in nonlinear delay difference equations, Proc. Amer. Math. Soc., 115(1992), 1083-1088.
  • [9] LEVIN S.A., MAY R.M., A note on difference-delay equations, Theoret. Population Biol, 9(1976), 178-187.
  • [10] SHAH S.M., WIENER J., Advanced differential equations with piecewise constant argument deviations, Inter. J. Math. Anal. Sci., 6(1983), 671-703.
  • [11] SHEN J.H., STAVROULAKIS I.P., Oscillatory and nonoscillatory delay equations with piecewise constant argument, J. Math. Anal. Appl, 248(2000), 385-401.
  • [12] WIENER J., SHAH S.M., Functional-differential equation with piecewise constant argument, Indian J. Math., 29(1987), 131-158.
  • [13] WANG Y., YAN J., Necessary and sufficient condition for the global attractivity of the trivial solution of a delay equation with continuous and piecewise constant arguments, Appl. Math. Lett., 10(1997), 91-96.
  • [14] Yu J.S., CHENG S.S., A stability criterion for a neutral difference equation with delay, Appl. Math. Lett., 7(1994), 75-80.
  • [15] Yu J.S., CHANG E.G., WANG Z.C., Oscillation of delay difference equations, Appl. Anal., 53(1994), 117-124.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0069-0087
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.