A note on the Tikhonov theorem on an infinite interval
Jacek Banasiak
TL;DR
This paper presents a new proof of the Tikhonov theorem applicable to infinite intervals and explores its potential applications in differential equations and dynamical systems.
Contribution
It introduces a novel proof technique for the Tikhonov theorem on infinite intervals, expanding its theoretical foundation.
Findings
New proof of Tikhonov theorem for infinite intervals
Discussion of applications in differential equations
Enhanced understanding of asymptotic behavior
Abstract
In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.
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