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math.CA2018
Existence and multiplicity results for some generalized Hammerstein equations with a parameter
Lucía López-Somoza, Feliz Minhós
This paper considers the existence and multiplicity of fixed points for the integral operator \begin{equation*} {\mathcal{T}}u(t)=λ\,\int_{0}^{T}k(t,s)\,f(s,u(s),u^{\prime }(s),\do…
math.CA2018
On multi-point resonant problems on the half-line
Lucía López-Somoza, Feliz Minhós
In this work we obtain sufficient conditions for the existence of bounded solutions of a resonant multi-point second-order boundary value problem, with a fully differential equatio…
math.CA2015
Green's Functions and Spectral Theory for the Hill's Equation
Alberto Cabada, José A. Cid, Lucía López Somoza
The aim of this paper is to show certain properties of the Green's functions related to the Hill's equation coupled with different two point boundary value conditions. We will obta…