27 citations · 96 across the 33 of their papers we have counts for
37 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…
Second order periodic boundary value problems with reflection and piecewise constant arguments
Alberto Cabada, Paula Cambeses-Franco
In this paper, we analyze a second-order differential equation with a piecewise constant argument and reflection coupled to periodic boundary conditions. Our main contribution is t…
Reflection equation with piecewise constant argument
Alberto Cabada, Paula Cambeses Franco
In this work, we study nonlocal differential equations with particular focus on those with reflection in their argument and piecewise constant dependence. The approach entails deri…
Spectral characterization of the constant sign derivatives of Green's function related to two point boundary value conditions
Alberto Cabada, Lucía López-Somoza, Mouhcine Yousfi
In this paper we will study the set of parameters in which certain partial derivatives of the Green's function, related to a -order linear operator , depending on a re…
An explicit formula of the parameter dependence of de partial derivatives of the Green's functions related to arbitrary two-point boundary conditions
Alberto Cabada, Lucía López-Somoza
In this paper we obtain an explicit formula of the parameter dependence of the partial derivatives of the Green's functions related to two-point boundary conditions. Such expressio…
Green's Functions and Existence of Solutions of Nonlinear Fractional Implicit Difference Equations with Dirichlet Boundary Conditions
Alberto Cabada, Nikolay D. Dimitrov, Jagan Mohan Jonnalagadda
This article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions.…