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ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS

정순모|Yongjin Li|Jinghao Huang
대한수학회 (The Korean Mathematical Society)|2015.03|대한수학회보 (Bulletin of the KMS)|제52권 제2호|pp. 685-697

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참고문헌

키워드

Hyers-Ulam stabilitygeneralized Hyers-Ulam stabilityfixed point theoremnonlinear differential equations
주제분류수학

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.

Abstract

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.

참고문헌 (40)

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