The inhomogeneous Euler equation and its Hyers-Ulam stability

The inhomogeneous Euler equation and its Hyers-Ulam stability
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DOI：
10.1016/j.aml.2014.09.006
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发表时间：
2015-02
期刊：
Appl. Math. Lett.
影响因子：
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通讯作者：
C. Mortici;T. Rassias;Soon-Mo Jung
C. Mortici;T. Rassias;Soon-Mo Jung
中科院分区：
其他
文献类型：
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作者：
C. Mortici;T. Rassias;Soon-Mo Jung

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本文求解了非齐次欧拉方程x2y“(X)+αxy‘(X)+βy(X)=f(X)，并用积分方法证明了该方程在有界域上的稳定性。我们的结果推广了Jung和Min(2009)的结果。
In this paper, we solve the inhomogeneous Euler differential equation, x 2 y ″(x)+ α x y′(x)+ β y (x)= f (x), and prove the Hyers–Ulam stability of that equation on a bounded domain by using the integration method. Our results extend the results of Jung and Min (2009).