Hyers--Ulam stability of nth order linear differential equations

Li, Tongxing¹ ; Zada, Akbar² ; Faisal, Shah²

¹ 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
² Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 5, p. 2070-2075.

Résumé

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.

Détail

DOI : 10.22436/jnsa.009.05.12

Classification : 35B35
Keywords: Hyers-Ulam stability, generalized Hyers-Ulam stability, nth order linear differential equation, open mapping theorem.

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