Abstract and Applied Analysis
Volume 2004 (2004), Issue 4, Pages 271-283
doi:10.1155/S1085337504306068
Positive solutions for singular discrete boundary value problems
Mariella Cecchi1
, Zuzana Došlá2
and Mauro Marini1
1Department of Electronics and Telecommunications, University of Florence, Via S. Marta 3, Florence 50139, Italy
2Department of Mathematics, Masaryk University, Janá {c}kovo nám. 2a, Brno 662 95, Czech Republic
Abstract
We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ(anΦp(Δxn))=g(n,xn+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.