6 citations · 23 across the 11 of their papers we have counts for
12 papers
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…
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…
Greatest solutions and differential inequalities: a journey in two directions
Rodrigo López Pouso
We present a new elementary proof of the existence of the least and the greatest solutions to initial value problems in the conditions of Peano's existence theorem. Our proof is ba…
A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral
Rodrigo López Pouso
This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in ${\rm…
Peano's Existence Theorem revisited
Rodrigo López Pouso
We present new proofs to four versions of Peano's Existence Theorem for ordinary differential equations and systems. We hope to have gained readability with respect to other usual…