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

In this paper, asymptotic properties of solutions ofΔ3Vn+Pn−1Vn+1=0          (E+)are investigated via the quasi-adjoint equationΔ3Un+PnUn+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...

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Bibliographic Details
Main Author: B. Smith
Format: Article
Language:English
Published: Hindawi Limited 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171286000947