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Asymptotic approximation of solutions of nonlinear third order difference equations

✍ Scribed by N. Parhi; Anita Panda

Book ID
111493134
Publisher
SP Versita
Year
2011
Tongue
English
Weight
214 KB
Volume
61
Category
Article
ISSN
0139-9918

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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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✍ Z. DoΕ‘lΓ‘; A. Kobza πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 547 KB

The third-order nonlinear difference equations a(p~A(~.A~.)) + q.f(~+p) = 0, p e {0,1, 2}, where (p,~), (rn), and (qn) are sequences of positive real numbers for n E N, f : R --\* ~ is a continuous function such that f(u)u > 0 for u =fi 0, are investigated. All nonoscillatory solutions of these equ