5 papers
Explicit Green's Functions and Adjoint Problems for Differential Equations with Linear Functional Perturbations
Alberto Cabada, Paula Cambeses-Franco, Lucía López-Somoza
In this paper we study a functional differential equation subject to two-point boundary value conditions, where the functional dependence is introduced through an operator of the f…
Asymptotic properties of PDEs in compact spaces
Lucía López-Somoza, F. Adrián F. Tojo
In this article we combine the study of solutions of PDEs with the study of asymptotic properties of the solutions via compactification of the domain. We define new spaces of funct…
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…
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…
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…