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Asymptotic behavior of solutions of second order nonlinear difference equations

โœ Scribed by Rigoberto Medina; Manuel Pinto


Book ID
107967499
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
490 KB
Volume
19
Category
Article
ISSN
0362-546X

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โœ E. Thandapani; S.L. Marian ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 365 KB

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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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)A