학술저널
BOUNDEDNESS IN FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t ∞ -SIMILARITY
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 2
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2016.05347 - 359 (13 pages)
- 2
In this paper, we show that the solutions to perturbed functional differential system y 0 = f (t, y) + ∫t t0 g(s, y(s), Ty(s))ds, have a bounded properties. To show the bounded properties, we impose conditions on the perturbed part ∫t t0 g(s, y(s), T y(s))ds and on the fundamental matrix of the unperturbed system y 0 = f (t, y) using the notion of t ∞ -similarity.
1. Introduction
2. Preliminaries
3. Main results
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