Positive solutions for singular discrete boundary value problems
Mariella Cecchi,1Zuzana Došlá,2and Mauro Marini1
Received10 Dec 2002
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.