Boundedness and asymptotic behavior of solutions of a forced difference equation
John R. Graef and
Paul W. Spikes
International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-4
Abstract:
The authors consider the nonlinear difference equation ? [ y n + p n y n - h ] + q n f ( y n - k ) = r n where ? y n = y n + 1 - y n , { p n } , { q n } , and { r n } are real sequences, and u f ( 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.
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:974851
DOI: 10.1155/S0161171294000542
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