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math.CA2020★ 1 cited
Decaying positive global solutions of second order difference equations with mean curvature operator
Zuzana Došlá, Serena Matucci, Pavel Řehák
A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are p…
math.CA2020★ 2 cited
A fixed-point approach for decaying solutions of difference equations
Zuzana Došlá, Mauro Marini, Serena Matucci
A boundary value problem associated to the difference equation with advanced argument \begin{equation} \label{*}Δ\bigl (a_{n}Φ(Δx_{n})\bigr)+b_{n}Φ(x_{n+p} )=0,\ \ n\geq1 \tag{}…
math.CA2015★ 8 cited
A Dirichlet problem on the half-line for nonlinear equations with indefinite weight
Zuzana Došlá, Mauro Marini, Serena Matucci
We study the existence of positive solutions on the half-line for the nonlinear second order differential equation \[ \bigl(a(t)x^{\prime}\bigr)^{\prime}+b(t)F(x)=0,\q…