Quasi-adjoint third order difference equations: oscillatory and asymptotic behavior

B. Smith

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-4

Abstract:

In this paper, asymptotic properties of solutions of Δ 3 V n + P n − 1 V n + 1 = 0                     ( E + ) are investigated via the quasi-adjoint equation Δ 3 U n + P n U n + 2 = 0.                         ( E − ) A necessary and sufficient condition for the existence of oscillatory solutions of ( E + ) is given. An example showing that it is possible for ( E + ) to have only nonoscillatory solutions is also given.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:806976

DOI: 10.1155/S0161171286000947

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