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Lyapunov-Krasovsky Functionals and the Existence of Unbounded Solutions of Functional-Differential Equations of Retarded Type

Year: 2026

Type: preprint

Abstract: In this paper, the concepts of unboundedness and partial unboundedness of solutions of functional-differential equations of retarded type are introduced. On the basis of the method of Lyapunov-Krasovsky functionals, sufficient conditions for the existence of partially unbounded solutions are obtained. As corollaries, sufficient conditions for the existence of unbounded solutions are obtained.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.24620

Authors: S., Lapin K., S., Lapin, V

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G4762490110

OpenAlex ID: W7222993906

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