Application of the Green–Samoilenko Function and Operator to the Investigation of Non-Lipschitz Differential Equations

For systems of non-Lipschitz differential equations, we establish conditions for the existence of invariant sets. To obtain this result, we apply the Green–Samoilenko function and the corresponding operator.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2022-05, Vol.73 (12), p.1937-1957
Main Authors: Perestyuk, M. O., Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Differential equations
Geometry
Investigations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Statistics
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Description
Summary:For systems of non-Lipschitz differential equations, we establish conditions for the existence of invariant sets. To obtain this result, we apply the Green–Samoilenko function and the corresponding operator.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02039-9