18 citations · 23 across the 10 of their papers we have counts for
11 papers
Positive periodic solutions for systems of impulsive delay differential equations
Teresa Faria, Rubén Figueroa
A class of periodic differential -dimensional systems with patch structure with (possibly infinite) delay and nonlinear impulses is considered. These systems incorporate very ge…
A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez-López
We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order…
Degree theory for discontinuous operators
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez López
We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for s…
Fixed points of Hammerstein-type equations on general cones
Rubén Figueroa, F. Adrián F. Tojo
We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of co…
A Schauder-type theorem for discontinuous operators with applications to second-order BVPs
Rubén Figueroa, Gennaro Infante
We prove a new fixed point theorem of Schauder-type which applies to discontinuous operators in non-compact domains. In order to do so, we present a modification of a recent Schaud…
The method of coupled fixed points and coupled quasisolutions when working with ODE's with arguments of bounded variation
Rubén Figueroa
The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when treating with ordinary differential equations with functional arguments of…