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초록
We investigate the stability of nonlinear differential equations of the form y((n))(x) = F(x, y(x), y'(x), . . ., y((n-1))(x)) with a Lipschitz condition by using a fixed point method. Moreover, a Hyers-Ulam constant of this differential equation is obtained.
키워드
Hyers-Ulam stability; generalized Hyers-Ulam stability; nonlinear differential equations; fixed point theorem; RASSIAS STABILITY; MAPPINGS; 1ST-ORDER; OPERATOR; SPACE; Y'
- 제목
- ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
- 저자
- Huang, Jinghao H; Jung, Soon-Mo; Li, Yongjin
- 발행일
- 2015-03
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 52
- 호
- 2
- 페이지
- 685 ~ 697