BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS

• 발행기관: 충청수학회
• 저자명: Dong Man Im Yoon Hoe Goo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 4, 499~511쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.11.30

국문 초록

This paper shows that the solutions to the perturbed differential system y 0 = f (t, y) +∫t t0g(s, y(s))ds + h(t, y(t), T y(t)) have bounded property. To show this property, we impose conditions on the perturbed part ∫t t0 g(s, y(s))ds, h(t, y(t), T y(t)), and on the fundamental matrix of the unperturbed system y 0 = f (t, y).

목차

1. Introduction and preliminaries

2. Main results

키워드

h-stability t ∞ -similarity bounded functional perturbed differential system.