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Asymptotic and oscillatory behavior of solutions of general nonlinear difference equations of second order

✍ Scribed by E. Thandapani; S. Pandian

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

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✦ Synopsis

The asymptotic and oscillatory behavior of solutions of some general second-order nonlinear difference equations of the form

is studied. Oscillation criteria for their solutions, when {p,~} is of constant sign, are established.

Results are also presented for the damped-forced equation A(anh(yn+l)Ayn) + pnAyn + qn+lf(Ya(n+l)) = en,, n e Z.

πŸ“œ SIMILAR VOLUMES

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In this paper, we study the boundedness and monotomclty properties of solutions of the difference equation A(r,-l&,-l) + qn(A~n)" -~4 = e,, where {rn}, {q,,}, {p,,}, and {e,} are real sequences and a and p are ratios of odd posltlve integers Examples lllustratmg our results are included

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