Academic Journal

UNIFORM STABILITY OF NEUTRAL TYPE DIFFERENTIAL EQUATIONS.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: UNIFORM STABILITY OF NEUTRAL TYPE DIFFERENTIAL EQUATIONS.
Συγγραφείς: Postanogova, Irina
Πηγή: Journal of Mathematical Sciences; Jun2026, Vol. 300 Issue 3, p363-371, 9p
Θεματικοί όροι: Stability criterion, Operator theory, Function spaces, Delay differential equations, Lyapunov stability, Autonomous differential equations
Περίληψη: We study uniform stability of a linear autonomous differential equation of neutral type under the condition of invertibility of the operator at the derivative in Lebesgue spaces. It is proved that in this case the uniform stability is equivalent to the condition that all roots of the characteristic function are located to the left of the imaginary axis, and that all roots on this axis are simple. Bibliography : 5 titles. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mathematical Sciences is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Βάση Δεδομένων: Complementary Index
Περιγραφή
ISSN:10723374
DOI:10.1007/s10958-026-08533-w