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Monotone properties of certain classes of solutions of second-order difference equations

✍ Scribed by E. Thandapani; M.M.S. Manuel; J.R. Graef; P.W. Spikes

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
346 KB
Volume
36
Category
Article
ISSN
0898-1221

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✦ Synopsis

+1

and a(a.a=.) = q.l(x.+1),

where an > 0, qn > 0, and I : It --* It is continuous with u.f(u) > 0 for u ~ 0. They obtain necessary and sufficient conditions for the asymptotic behavior of certain types of nonoscilhtory solutions of (*) and sufficient conditions for the asymptotic behavior of certain types of nonceciUatory solutions of (**). Sufficient conditions for the existence of these types of nonoscillatory solutions are also presented. Some examples illustrating the results and suggestions for further research are included.

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