ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS

• 발행기관: 충청수학회
• 저자명: Sung Kyu Choi Dong Man Im Nam jip Koo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 3, 545~556쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.09.30

영문 초록

We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear di？？erential systems are equivalent via t1-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.

목차

1. Introduction and basic notions

2. Asymptotic equilibria for nonlinear systems

3. Asymptotic equivalence in variation

References