4 citations · 7 across the 8 of their papers we have counts for
12 papers
Comparison results for first order linear operators with reflection and periodic boundary value conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of the first order operator coupled with periodic boundary value conditions. We describe the eigenvalues of the operator and obta…
Nontrivial solutions of Hammerstein integral equations with reflections
Alberto Cabada, Gennaro Infante, F. Adrián F. Tojo
Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a…
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…
Solutions of the first order linear equation with reflection and general linear conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of first order linear problems with involution and general linear conditions. We first study the problem in the case of antiperiodic boundary cond…
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…