The linear differential equations with complex constant coefficients and Schrödinger equations

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• 作者：Soon-Mo Jung^a ; ^{smjung@hongik.ac.kr} ; Jaiok Roh^b ; ^{joroh@hallym.ac.kr}
• 关键词：Hyers&ndash ; Ulam stability ; Generalized Hyers&ndash ; Ulam stability ; Linear differential equation ; Approximation ; Schrö ; dinger equation
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：66
• 期：Complete
• 页码：23-29
• 全文大小：691 K
• 卷排序：66

文摘

We investigate some properties of approximate solutions for the second-order inhomogeneous linear differential equations, y′′(x)+αy′(x)+βy(x)=r(x)y′′(x)+αy′(x)+βy(x)=r(x), with complex constant coefficients. And, as an application of our results, we will see the time independent Schrödinger equations. This paper was motivated by the paper, Li and Shen (2010).