Hyers--Ulam stability of nth order linear differential equations


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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