ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS

• 발행기관: 충청수학회
• 저자명: Dong Man Im Sang Il Choi Yoon Hoe Goo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 30, No. 1, 103~116쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2017.02.28

국문 초록

In this paper, we show 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 asymptotic property 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).

목차

1. Introduction

2. Preliminaries

3. Main results

키워드

perturbed differential system exponentially asymptotically stable exponentially asymptotically stable in variation.