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Abstract <p>The main methods and approaches of the theory of discontinuous systems are used to construct the theory of functional differential equations with a discontinuous right-hand side. In particular, methods for describing sets of discontinuity points and sliding modes of discontinuous systems with delay are considered using a special class of invariantly differentiable functionals.</p>

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Problems and Methods of the Theory Functional Differential Equations with Discontinuous Right Hand Side

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • I. A. Finogenko

摘要

Abstract

The main methods and approaches of the theory of discontinuous systems are used to construct the theory of functional differential equations with a discontinuous right-hand side. In particular, methods for describing sets of discontinuity points and sliding modes of discontinuous systems with delay are considered using a special class of invariantly differentiable functionals.