학술저널
BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS VIA t ∞ -SIMILARITY
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 30, No. 3
-
2017.08291 - 304 (14 pages)
- 2
This paper shows that the solutions to the perturbed differential system y ′ = f (t, y) + ∫t t0 g(s, y(s), T 1 y(s))ds + h(t, y(t), T 2 y(t)), have bounded properties by imposing conditions on the perturbed part ∫ t t 0 g(s, y(s), T 1 y(s))ds, h(t, y(t), T 2 y(t)), and on the fundamen- tal matrix of the unperturbed system y ′ = f (t, y) using the notion of h-stability.
1. Introduction and preliminaries
2. Main Results
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