positive periodic solutions of nonlinear first-order functional difference equations with a parameter
Abstract
We obtain the existence and multiplicity of positive $T$-periodic solutions for the difference equations $$ Delta x(n)=a(n,x(n))-lambda b(n)f(x(n-au(n))) $$ and $$ Delta x(n)+a(n,x(n))=lambda b(n)f(x(n-au(n))), $$ where $f(cdot)$ may be singular at $x=0$. Using a fixed point theorem in cones, we extend recent results in the literature.
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175463
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