We study the harmonic solutions of periodically perturbed implicit integro-differential equations of a particular form obtaining, under appropriate topological conditions, a “branching-type” result for the nontrivial periodic solutions. The proof employs a combination of techniques from the theory of Topological Degree, Functional Differential Equations and Differential-Algebraic Equations.
Periodic solutions of a class of perturbed implicit equations with memory / Marco Spadini. - STAMPA. - Functional Differential Equations and Dynamic Equations on Time Scales:(2025), pp. 219-230.
Periodic solutions of a class of perturbed implicit equations with memory
Marco Spadini
Writing – Original Draft Preparation
2025
Abstract
We study the harmonic solutions of periodically perturbed implicit integro-differential equations of a particular form obtaining, under appropriate topological conditions, a “branching-type” result for the nontrivial periodic solutions. The proof employs a combination of techniques from the theory of Topological Degree, Functional Differential Equations and Differential-Algebraic Equations.
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