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ON THE HYERS-ULAM STABILITY OF A THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATION

ON THE HYERS-ULAM STABILITY OF A THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATION
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摘要 In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different situations on a bounded domain. Then, the study is extended to nth-order nonlinear differential equations. In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different situations on a bounded domain. Then, the study is extended to nth-order nonlinear differential equations.
出处 《Annals of Applied Mathematics》 2015年第4期437-445,共9页 应用数学年刊(英文版)
基金 supported by the Doctoral Fund of Education Ministry of China(20134219120003) the Natural Science Foundation of Hubei Province(2013CFA131) Hubei Province Key Laboratory of Systems Science in Metallurgical Process(z201302)
关键词 Hyers-Ulam stability third order differential equation Gronwall's inequality Hyers-Ulam stability third order differential equation Gronwall's inequality
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