Abstract
We obtain sufficient conditions for the existence of unbounded solutions of the following nonlinear differential equation(φp(x′))+(p−1)[αφp(x+)−βφp(x−)]=(p−1)f(t,x,x′), whereφp(u)=|u|p−2u, p>1, x+=max{x,0}, x−=max{−x,0},α,βare positive constants, andfis continuous, bounded, andT-periodic intfor someT>0.
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