학술저널
UNIFORMLY LIPSCHITZ STABILITY OF PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 30, No. 2
-
2017.05273 - 284 (12 pages)
- 4
In this paper, we study that the solutions to 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 uniformly Lipschitz stability 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 fundamental matrix of the unperturbed system y ′ = f (t, y) using integral inequalities.
1. Introduction and Preliminaries
2. Main Results
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