PROBLEMS AND METHODS OF THE THEORY FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT HAND PART

The main methods and approaches of the theory of discontinuous systems are applied to the construction of 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 by using a special class of invariantly differentiable functionals are considered.

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Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034504925020104
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

PROBLEMS AND METHODS OF THE THEORY FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT HAND PART

I. A. Finogenko
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Differential Equations and Boundary Problems
article

PROBLEMS AND METHODS OF THE THEORY FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT HAND PART

I. A. Finogenko
article en

Abstract

The main methods and approaches of the theory of discontinuous systems are applied to the construction of 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 by using a special class of invariantly differentiable functionals are considered.

Доклады Российской академии наук Математика информатика процессы управления / Doklady MathematicsVol. 522(1)
Openalex Percentile: Top 64%
Differential Equations and Boundary Problems
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PROBLEMS AND METHODS OF THE THEORY FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT HAND PART — I. A. Finogenko · Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics (2025) | TGRS Research Map | TGRS