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Volumn 41, Issue 6, 2004, Pages 995-1005

Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y′ = λy

Author keywords

Differential equation; Hyers Ulam Rassias stability

Indexed keywords


EID: 18344379875     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2004.41.6.995     Document Type: Article
Times cited : (84)

References (12)
  • 1
    • 0141628846 scopus 로고    scopus 로고
    • On some inequalities and stability results related to the exponential function
    • C. Alsina and R. Ger, On some inequalities and stability results related to the exponential function, J. Inequal. Appl. 2 (1998), 373-380.
    • (1998) J. Inequal. Appl. , vol.2 , pp. 373-380
    • Alsina, C.1    Ger, R.2
  • 2
    • 84968978780 scopus 로고
    • On stability of additive mappings
    • Z. Gajda, On stability of additive mappings, Internat. J. Math. Math. Sci. 14 (1991), 431-434.
    • (1991) Internat. J. Math. Math. Sci. , vol.14 , pp. 431-434
    • Gajda, Z.1
  • 3
    • 0001260759 scopus 로고
    • On the stability of the linear functional equation
    • D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA 27 (1941), 222-224.
    • (1941) Proc. Natl. Acad. Sci. USA , vol.27 , pp. 222-224
    • Hyers, D.H.1
  • 5
    • 0141865505 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential operator with constant coefficients
    • T. Miura, S. Miyajima and S.-E. Takahasi, Hyers-Ulam stability of linear differential operator with constant coefficients, Math. Nachr. 258 (2003), 90-96.
    • (2003) Math. Nachr. , vol.258 , pp. 90-96
    • Miura, T.1    Miyajima, S.2    Takahasi, S.-E.3
  • 6
    • 0142087794 scopus 로고    scopus 로고
    • A characterization of Hyers-Ulam stability of first order linear differential operators
    • -, A characterization of Hyers-Ulam stability of first order linear differential operators, J. Math. Anal. Appl. 286 (2003), 136-146.
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 136-146
  • 7
    • 84966221118 scopus 로고
    • On the stability of the linear mapping in Banach spaces
    • Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
    • (1978) Proc. Amer. Math. Soc. , vol.72 , pp. 297-300
    • Rassias, Th.M.1
  • 8
    • 0000247550 scopus 로고
    • On the behavior of mappings which do not satisfy Hyers-Ulam stability
    • Th. M. Rassias and P. Šemrl, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc. 114 (1992), 989-993.
    • (1992) Proc. Amer. Math. Soc. , vol.114 , pp. 989-993
    • Rassias, T.M.1    Šemrl, P.2
  • 10
    • 0141740675 scopus 로고    scopus 로고
    • On the Hyers-Ulam stability of the Banach space-valued differential equation y′ = λy
    • S.-E. Takahasi, T. Miura and S. Miyajima, On the Hyers-Ulam stability of the Banach space-valued differential equation y′ = λy, Bull. Korean Math. Soc. 39 (2002), 309-315.
    • (2002) Bull. Korean Math. Soc. , vol.39 , pp. 309-315
    • Takahasi, S.-E.1    Miura, T.2    Miyajima, S.3
  • 12
    • 0002142291 scopus 로고
    • Selected Works, Part III, MIT Press, Cambridge, MA
    • -, Sets, Numbers and Universes Selected Works, Part III, MIT Press, Cambridge, MA, 1974.
    • (1974) Sets, Numbers and Universes


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.