27 citations · 65 across the 7 of their papers we have counts for
7 papers
A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
J. Ángel Cid, F. Adrián F. Tojo
We prove the following result: if a continuous vector field is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is…
A non-variational approach to the existence of nonzero positive solutions for elliptic systems
José Ángel Cid, Gennaro Infante
We provide new results on the existence of nonzero positive weak solutions for a class of second order elliptic systems. Our approach relies on a combined use of iterative techniqu…
New results for the Liebau phenomenon via fixed point index
José Ángel Cid, Gennaro Infante, Milan Tvrdý +1
We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new…
Green's Functions and Spectral Theory for the Hill's Equation
Alberto Cabada, José A. Cid, Lucía López Somoza
The aim of this paper is to show certain properties of the Green's functions related to the Hill's equation coupled with different two point boundary value conditions. We will obta…
Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs
J. A. Cid, Rodrigo López Pouso
We present a rather unknown version of the change of variables formula for non-autonomous functions. We will show that this formula is equivalent to Green's Theorem for regions of…
A positive fixed point theorem with applications to systems of Hammerstein integral equations
Alberto Cabada, José Ángel Cid, Gennaro Infante
We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we…
A topological approach to periodic oscillations related to the Liebau phenomenon
José Ángel Cid, Gennaro Infante, Milan Tvrdý +1
We give some sufficient conditions for existence, non-existence and localization of positive solutions for a periodic boundary value problem related to the Liebau phenomenon. Our a…