By employing variational methods for nonsmooth functionals, we establish the existence of two distinct solutions to an ordinary differential problem characterized by a set-valued reaction term. The investigation is conducted under the framework of periodic boundary conditions, which introduces additional challenges in the application of variational techniques due to the presence of nonsmooth functionals and the set-valued nature of the nonlinearity. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Two solutions for ordinary differential inclusions with periodic boundary conditions
Amoroso E.;Bonanno G.
;Klun G.;Morabito V.
2026-01-01
Abstract
By employing variational methods for nonsmooth functionals, we establish the existence of two distinct solutions to an ordinary differential problem characterized by a set-valued reaction term. The investigation is conducted under the framework of periodic boundary conditions, which introduces additional challenges in the application of variational techniques due to the presence of nonsmooth functionals and the set-valued nature of the nonlinearity. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.File in questo prodotto:
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