논문KCI 등재
On the Hyers-Ulam stability of the Banach space-valued differential equation y' = lambda y
0
조회
0
다운로드
3
인용
0
참고문헌
주제분류수학
초록
Abstract
Let I be an open interval and X a complex Banach space.Let varepsilon geq 0 and lambda a non-zero complexnumber with text{rm Re},lambda neq 0. If varphi is astrongly differentiable map from I to X with Vertvarphi'(t)-lambda varphi(t) Vert leq varepsilon for allt in I, then we show that the distance between varphi and the set ofall solutions to the differential equation y' = lambda y is at mostvarepsilon/ vert text{rm Re},lambda vert.
관련 논문AI추천
Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations ${\text\bf y}' = {\text\bf\lambda y}$Sin-Ei Takahasi, Soon-Mo Jung, Takeshi Miura대한수학회 · 대한수학회지2004 · 제41권 제6호Hyers-Ulam-Rassias Stability of the Banach Space Valued Linear Differential Equations y' = λySin-Ei Takahasi, Soon-Mo Jung, Takeshi Miura대한수학회 · 대한수학회지2004 · 제41권 제6호ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS정순모, Jinghao Huang, Yongjin Li대한수학회 · 대한수학회보2015 · 제52권 제2호An additive functional inequality박춘길, 신동윤, 이성진강원경기수학회 · 한국수학논문집2014 · 제22권 제2호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호Hyers-Ulam stability of trigonometric functional equations장정욱, 정재영대한수학회 · 대한수학회논문집2008 · 제23권 제4호
이 간행물의 다른 논문 (16건)
Fuzzy sub-implicative ideals of BCI-algebras전영배pp. 185-198The Hyers-Ulam stability of the quadratic functional equations on abelian groups정용수, 배재형pp. 199-209The range of derivations on Banach algebras김학만, 전길웅pp. 211-224Analytic solutions of a functional differential equation with proportional delaysSui Sun Cheng, Jian-Guo Sipp. 225-236Riemannian submanifolds in Lorentzian manifolds with the same constant curvatures박준상pp. 237-249