4 papers
Existence of solutions of integral equations defined in unbounded domains via spectral theory
Alberto Cabada, Lucía López-Somoza, F. Adrián F. Tojo
In this work we study integral equations defined on the whole real line. Using a suitable Banach space, we look for solutions which satisfy some certain kind of asymptotic behavior…
Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such…
Solutions and Green's function of the first order linear equation with reflection and initial conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of the existence and sign of Green's functions for first order linear problems with constant coefficients and initial (one point) conditions. We f…
On Linear Differential Equations and Systems with Reflection
Alberto Cabada, F. Adrián F. Tojo
In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a vari…