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We study the harmonic solutions of periodically perturbed implicit integrodifferential 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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Periodic Solutions of a Class of Perturbed Implicit Equations with Memory

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  • 发表日期：

    2025年

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  • Marco Spadini

摘要

We study the harmonic solutions of periodically perturbed implicit integrodifferential 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.