Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
作者： Soon-Mo Jung , Byungbae Kim
DOI: 10.3390/SYM12071089
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摘要: The first author has recently investigated a type of Hyers-Ulam stability the one-dimensional time independent Schrodinger equation when relevant system rectangular potential barrier finite height. In present paper, we will investigate with symmetric parabolic wall potential.
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sci-hub.st 参考文章(15)
Prasanna K. Sahoo, Palaniappan Kannappan, Introduction to Functional Equations ,(2017)
Soon-Mo Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis ,(2011)
Claudi Alsina, Roman Ger, On Some Inequalities and Stability Results Related to the Exponential Function Journal of Inequalities and Applications. ,vol. 1998, pp. 246904- ,(1998) , 10.1155/S102558349800023X
Themistocles M. Rassias, On the stability of the linear mapping in Banach spaces Proceedings of the American Mathematical Society. ,vol. 72, pp. 297- 300 ,(1978) , 10.1090/S0002-9939-1978-0507327-1
D. H. Hyers, On the Stability of the Linear Functional Equation Proceedings of the National Academy of Sciences of the United States of America. ,vol. 27, pp. 222- 224 ,(1941) , 10.1073/PNAS.27.4.222
S.-M. Jung, Hyers-Ulam stability of linear differential equations of first order Applied Mathematics Letters. ,vol. 19, pp. 1024- 1028 ,(2004) , 10.1016/J.AML.2005.11.004
Pascu Gavruta, None, A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings Journal of Mathematical Analysis and Applications. ,vol. 184, pp. 431- 436 ,(1994) , 10.1006/JMAA.1994.1211
Sin-Ei Takahasi, Takeshi Miura, Shizuo Miyajima, ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy Bulletin of the Korean Mathematical Society. ,vol. 39, pp. 309- 315 ,(2002) , 10.4134/BKMS.2002.39.2.309
Dorian Popa, Ioan Raşa, On the Hyers–Ulam stability of the linear differential equation Journal of Mathematical Analysis and Applications. ,vol. 381, pp. 530- 537 ,(2011) , 10.1016/J.JMAA.2011.02.051
Dalia Sabina Cîmpean, Dorian Popa, On the stability of the linear differential equation of higher order with constant coefficients Applied Mathematics and Computation. ,vol. 217, pp. 4141- 4146 ,(2010) , 10.1016/J.AMC.2010.09.062