基于Bellman不等式的一类二阶微分方程的解的有界性
Boundedness of Solutions of a Second Order Differential Equation via Bellman’s Inequality
DOI: 10.12677/PM.2014.46035, PDF,    科研立项经费支持
作者: 卢 明, 王蔚敏, 吴 磊, 刘少辉：武汉科技大学理学院，武汉
关键词: Bellman不等式；微分方程；有界性；Bellman Inequality； Differential Equation； Boundedness
摘要: 由Bellman不等式证明一类二阶微分方程的解的有界性，给出了两种不同形式的Bellman不等式，由此可得出有关微分方程解的有界性结论。
Abstract: By using Bellman’s inequality, the boundedness of solutions of a second order differential equation is investigated. Two different forms of Bellman inequality are given, which can be used to get the boundedness of differential equations.
文章引用：卢明, 王蔚敏, 吴磊, 刘少辉. 基于Bellman不等式的一类二阶微分方程的解的有界性[J]. 理论数学, 2014, 4(6): 241-246. https://dx.doi.org/10.12677/PM.2014.46035

参考文献

[1] 欧阳亮 (1957) 有关分数阶微分方程的解的有界性. 数学进展, 3, 409-415.
[2] Alqifiary, Q.H. and Jung, S.-M. (2014) On the Hyers-Ulam stability of differential equations of second order. Abstract and Applied Analysis, 2014, Ar-ticle ID: 483707.
[3] Dragomir, S.S. (2002) Some Gronwall type inequalities and applications. Melbourene City MC, Australia.

为你推荐