학술저널
BOUNDEDNESS FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t ∞ -SIMILARITY
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 4
-
2016.11585 - 598 (14 pages)
- 2
This paper shows that the solutions to the nonlinear perturbed differential system y 0 = f (t, y) + ∫t t0g(s, y(s), T 1 y(s))ds + h(t, y(t), T 2 y(t)), have bounded properties. To show these properties, we impose con-ditions on the perturbed part ∫ t t0 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 0 =f (t, y) using the notion of h-stability.
1. Introduction
2. preliminaries
3. Main results
(0)
(0)