Boundedness and persistence of solutions of a nonlinear difference equation

• Autorzy: Stević S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we obtain sufficient conditions for the boundedness as well ;is for the unboundedness of the positive solutions of the difference equation xn+1=f(xn,...,xn-k+1), n=0,1,2,...,where k is a positive integer and the initial conditions x-k+1, X-k+2,...x0 are arbitrary positive numbers.

Słowa kluczowe

EN

positive solution; difference equation; boundedness; persistence

PL

równania różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 99--104
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Stević S.

• Matematicki Fakultet, Studentski Trg 16, 11000 Beograd, Serbia, Yugoslavia

Bibliografia

• [1] R. De Vault, G. Ladas and S. W. Schultz, On the recursive sequence [wzór], Proceedings of the Second International Conference on Difference Equations, Veszprem, Hungary, Aug. 7-11, 1995, pp. 125-136, Gordon and Breach Science Publishers, New York, 1997.
• [2] R. DeVault, G. Ladas and S. W. Schultz, Necessary and sufficient conditions for the boundedness of [wzór], J. Differ. Equations Appl. 4 (3) (1998), 259-266.
• [3] G. Papaschinopoulos and C. J. Schinas, On the difference equation [wzór], J. Differ. Equations Appl. 6 (1) (2000), 75-89.
• [4] G. Papaschinopoulos and C. J. Schinas, Errata on the paper "On the difference equation [wzór]", by G. Paschinopoulos and C. J. Schinas, J. Differ. Equations Appl. 6 (1) (2000), 75-89 (to appear).
• [5] Ch. G. Philos, I. K. Purnaras and Y. G. Sficas, Global attractivity in a nonlinear difference equation, Appl. Math. Comput. 62 (1994), 249-258.