EXISTENCE THEOREM FOR WEAK SOLUTIONS FOR STOCHASTIC DIFFERENTIAL-DIFFERENCE HYBRID SYSTEM WITH CONTINUOUS COEFFICIENTS

The stochastic differential-difference hybrid system with two types of equation is examined: first, a differential equation with feedback, and second, a difference equation with delay. The existence theorem for weak solutions for this system with continuous coefficients is proved.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025040026
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

EXISTENCE THEOREM FOR WEAK SOLUTIONS FOR STOCHASTIC DIFFERENTIAL-DIFFERENCE HYBRID SYSTEM WITH CONTINUOUS COEFFICIENTS

А. А. Леваков
Дифференциальные уравнения / Differential Equations
Mathematical and Theoretical Epidemiology and Ecology Models
article

EXISTENCE THEOREM FOR WEAK SOLUTIONS FOR STOCHASTIC DIFFERENTIAL-DIFFERENCE HYBRID SYSTEM WITH CONTINUOUS COEFFICIENTS

А. А. Леваков
article en

Abstract

The stochastic differential-difference hybrid system with two types of equation is examined: first, a differential equation with feedback, and second, a difference equation with delay. The existence theorem for weak solutions for this system with continuous coefficients is proved.

Дифференциальные уравнения / Differential EquationsVol. 61(4)
Openalex Percentile: Top 64%
Mathematical and Theoretical Epidemiology and Ecology Models
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