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math.CA2021
On an affinity principle by Krasnoselskii
Pablo Amster, Julián Epstein
An abstract formulation of a duality principle established by Krasnoselskii is presented. Under appropriate conditions, it shall be shown that, if the solutions of a nonlinear func…
math.CA2020
Systems of functional-differential equations periodic solutions for systems of functional-differential semilinear equations at resonance
Pablo Amster, Julián Epstein, Arturo Sanjuán
Motivated by Lazer-Leach type results, we study the existence of periodic solutions for systems of functional-differential equations at resonance with an arbitrary even-dimensional…