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arXiv · 2610.24620

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

Lapin K. S.·Lapin S. V
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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.

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BibTeXRIS

Lapin K. S., Lapin S. V. 2026-10-17. Lyapunov-Krasovsky Functionals and the Existence of Unbounded Solutions of Functional-Differential Equations of Retarded Type. https://arxiv.org/abs/2610.24620

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