We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ(anΦp(Δxn)) = g(n,x n+1), where Φp(u) = |u|p-2u, p > 1, {an} is a positive real sequence for n ≥ 1, and g is a positive continuous function on ℕ × (0,u0), 0 < u0 ≤ ∞. The effects of singular nonlinearities and of the forcing term are treated as well.
Positive solutions for singular discrete boundary value problems / M. CECCHI;Z. DOSLA; M. MARINI. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 4:(2004), pp. 271-283. [10.1155/S1085337504306068]
Positive solutions for singular discrete boundary value problems
MARINI, MAURO
2004
Abstract
We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ(anΦp(Δxn)) = g(n,x n+1), where Φp(u) = |u|p-2u, p > 1, {an} is a positive real sequence for n ≥ 1, and g is a positive continuous function on ℕ × (0,u0), 0 < u0 ≤ ∞. The effects of singular nonlinearities and of the forcing term are treated as well.
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