Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
作者： I. Otaide , O.O. Olaiya , M. I. Modebei
DOI:
关键词:
摘要: The stability of ordinary differential equation has been investigated and this investigation is ongoing. In work, we investigate the second-order linear nonhomogeneous with initial condition in Hyers-Ulam sense.
scik.org参考文章(14)
Yongjin Li, Hyers-Ulam Stability of Linear Differential Equations y′′ = λ2y Thai Journal of Mathematics. ,vol. 8, pp. 215- 219 ,(2012)
Takeshi Miura, Shizuo Miyajima, Sin-Ei Takahasi, A characterization of Hyers–Ulam stability of first order linear differential operators Journal of Mathematical Analysis and Applications. ,vol. 286, pp. 136- 146 ,(2003) , 10.1016/S0022-247X(03)00458-X
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
Themistocles M. Rassias, Peter Šemrl, On the behavior of mappings which do not satisfy Hyers-Ulam stability Proceedings of the American Mathematical Society. ,vol. 114, pp. 989- 993 ,(1992) , 10.1090/S0002-9939-1992-1059634-1
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
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
Takeshi MIURA, Sin-ei TAKAHASI, Hisashi CHODA, On the Hyers-Ulam Stability of Real Continuous Function Valued Differentiable Map Tokyo Journal of Mathematics. ,vol. 24, pp. 467- 476 ,(2001) , 10.3836/TJM/1255958187
Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura, Shizuo Miyajima, The Hyers–Ulam stability constants of first order linear differential operators Journal of Mathematical Analysis and Applications. ,vol. 296, pp. 403- 409 ,(2004) , 10.1016/J.JMAA.2003.12.044