2 citations · 4 across the 10 of their papers we have counts for
12 papers
Multiple non-collision periodic solutions for second order singular differential systems with parameters
Laura María Fernández-Pardo, Jorge Rodríguez-López
In this paper, new existence and multiplicity results for positive periodic solutions of singular second-order problems under sublinear and superlinear growth assumptions at infini…
A unified approach to compression-expansion fixed point theorems for operators systems and applications
Laura M. Fernández-Pardo, Jorge Rodríguez-López
In this paper, we present some fixed point theorems for operator systems in the line of Krasnosel'skii's theorem in cones. The cone-compression and cone-expansion type conditions a…
On Krasnosel'skii-Precup fixed point theorem and eigenvalue criteria for existence of positive solutions
Laura M. Fernández-Pardo, Jorge Rodríguez-López
We provide an alternative approach to Krasnosel'skii-Precup fixed point theorem for operator systems based on the Leray-Schauder fixed point index in cones. Our focus is on the cas…
Birkhoff-Kellogg type results in product spaces and their application to differential systems
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
We provide a new version of the well-known Birkhoff-Kellogg invariant-direction Theorem in product spaces. Our results concern operator systems and give the existence of component-…
Component-wise Krasnosel'skii type fixed point theorem in product spaces and applications
Laura M Fernández-Pardo, Jorge Rodríguez-López
We present a version of Krasnosel'skii fixed point theorem for operators acting on Cartesian products of normed linear spaces, under cone-compression and cone-expansion conditions…
An existence result in annular regions times conical shells and its application to nonlinear Poisson systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide a new existence result for abstract nonlinear operator systems in normed spaces, by means of topological methods. The solution is located within the product of annular r…
A Birkhoff-Kellogg type theorem for discontinuous operators with applications
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on af…
A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type m…
On discontinuous differential equations and the method of solution-regions
Jorge Rodríguez-López
We adapt the method of solution regions to prove new existence and localization results for systems of discontinuous differential equations. Some assumptions concerning the definit…
A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications
Jorge Rodríguez-López
We present an alternative approach to the vector version of Krasnosel'skii compression-expansion fixed point theorem due to Precup, which is based on the fixed point index. It allo…
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…