3 papers
math.GM2026
Explicit Green's Functions and Adjoint Problems for Differential Equations with Linear Functional Perturbations
Alberto Cabada, Paula Cambeses-Franco, LucÃa 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…
math.CA2026
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…
math.CA2025
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…