학술저널
UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC BEHAVIOR OF PERTURBED DIFFERENTIAL SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 3
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2016.08429 - 442 (14 pages)
- 0
In this paper we show that the solutions to the per-turbed differential system y 0 = f (t, y) +∫ t t 0 g(s, y(s), T y(s))ds have uniformly Lipschitz stability and asymptotic behavior by im-posing conditions on the perturbed part ∫ t t0 g(s, y(s), T y(s))ds and the fundamental matrix of the unperturbed system y0 = f (t, y).
1. Introduction
2. Preliminaries
3. Main results
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