Boundedness and asymptotic behavior of solutions of a forced difference equation

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...

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Bibliographic Details
Main Authors: John R. Graef, Paul W. Spikes
Format: Article
Language:English
Published: Hindawi Limited 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294000542