Linear Functional-Differential Equations with Absolutely Unstable Solutions

For linear functional-differential equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we establish necessary and sufficient conditions for the absolute instability of the trivial solutions.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2020-04, Vol.71 (11), p.1802-1812
Main Author: Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Differential equations
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:For linear functional-differential equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we establish necessary and sufficient conditions for the absolute instability of the trivial solutions.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01748-3