Boundedness and asymptotic behavior of solutions of a forced difference equation

Autor: John R. Graef, Paul W. Spikes
Jazyk: angličtina
Rok vydání: 1994
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 17, Iss 2, Pp 397-400 (1994)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171294000542
Popis: The authors consider the nonlinear difference equation?[yn+pnyn-h]+qnf(yn-k)=rnwhere ?yn=yn+1-yn, {pn}, {qn}, and {rn} are real sequences, and uf(u)>0 for u?0. Sufficient conditions for boundedness and convergence to zero of certain types of solutions axe given. Examples illustrating the results are also included.
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