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New results for the asymptotic behavior of a nonlinear second-order difference equation

โœ Scribed by Xianyi Li; Deming Zhu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
479 KB
Volume
16
Category
Article
ISSN
0893-9659

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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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We investigate the asymptotic behavior of solutions to the following system of second order nonhomogeneous difference equation: where A is a maximal monotone operator in a real Hilbert space H, {c n } and {ฮธ n } are positive real sequences and {f n } is a sequence in H. We show the weak and strong