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math.AP2021
On a general variational framework for existence and uniqueness in Differential Equations
Pablo Pedregal
Starting from the classic contraction mapping principle, we establish a general, flexible, variational setting that turns out to be applicable to many situations of existence in Di…
math.DS2021
A variational approach to Hilbert's 16th problem within the framework of global analysis
Pablo Pedregal
We focus on the second part of Hilbert's 16th problem and provide an upper bound on the number of limit cycles that a polynomial, differential, planar system may have, depending ex…