Hyers--Ulam stability of nth order linear differential equations
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Authors
Tongxing Li
- School of Informatics, Linyi University, Linyi, Shandong 276005, P. R. China.
- LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China.
Akbar Zada
- Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
Shah Faisal
- Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
Abstract
For nth order linear homogeneous and nonhomogeneous differential equations with nonconstant coefficients, we prove Hyers{Ulam stability by using open mapping theorem. The generalized Hyers{Ulam
stability is also investigated.
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ISRP Style
Tongxing Li, Akbar Zada, Shah Faisal, Hyers--Ulam stability of nth order linear differential equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2070--2075
AMA Style
Li Tongxing, Zada Akbar, Faisal Shah, Hyers--Ulam stability of nth order linear differential equations. J. Nonlinear Sci. Appl. (2016); 9(5):2070--2075
Chicago/Turabian Style
Li, Tongxing, Zada, Akbar, Faisal, Shah. "Hyers--Ulam stability of nth order linear differential equations." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2070--2075
Keywords
- Hyers-Ulam stability
- generalized Hyers-Ulam stability
- nth order linear differential equation
- open mapping theorem.
MSC
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