메뉴 건너뛰기




Volumn 311, Issue 1, 2005, Pages 139-146

Hyers-Ulam stability of linear differential equations of first order, III

Author keywords

Euler equation; Hyers Ulam stability; Linear differential equation

Indexed keywords


EID: 24744462942     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.02.025     Document Type: Article
Times cited : (157)

References (20)
  • 1
    • 0141628846 scopus 로고    scopus 로고
    • On some inequalities and stability results related to the exponential function
    • C. Alsina 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
    • 0001036579 scopus 로고
    • A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
    • P. Gǎvrutǎ A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J. Math. Anal. Appl. 184 1994 431-436
    • (1994) J. Math. Anal. Appl. , vol.184 , pp. 431-436
    • Gǎvrutǎ, P.1
  • 5
    • 21344471512 scopus 로고    scopus 로고
    • The stability of the exponential equation
    • R. Ger P. Šemrl The stability of the exponential equation Proc. Amer. Math. Soc. 124 1996 779-787
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 779-787
    • Ger, R.1    Šemrl, P.2
  • 6
    • 0001260759 scopus 로고
    • On the stability of the linear functional equation
    • D.H. Hyers On the stability of the linear functional equation Proc. Nat. Acad. Sci. USA 27 1941 222-224
    • (1941) Proc. Nat. Acad. Sci. USA , vol.27 , pp. 222-224
    • Hyers, D.H.1
  • 10
    • 10644290151 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential equations of first order
    • S.-M. Jung Hyers-Ulam stability of linear differential equations of first order Appl. Math. Lett. 17 2004 1135-1140
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1135-1140
    • Jung, S.-M.1
  • 11
    • 24744437749 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential equations of first order II
    • submitted for publication
    • S.-M. Jung, Hyers-Ulam stability of linear differential equations of first order, II, submitted for publication
    • Jung, S.-M.1
  • 12
    • 0142046347 scopus 로고    scopus 로고
    • On the Hyers-Ulam stability of a differentiable map
    • T. Miura On the Hyers-Ulam stability of a differentiable map Sci. Math. Jpn. 55 2002 17-24
    • (2002) Sci. Math. Jpn. , vol.55 , pp. 17-24
    • Miura, T.1
  • 13
    • 18344379875 scopus 로고    scopus 로고
    • Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y′=λy
    • T. Miura S.-M. Jung S.-E. Takahasi Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y ′ = λ y J. Korean Math. Soc. 41 2004 995-1005
    • (2004) J. Korean Math. Soc. , vol.41 , pp. 995-1005
    • Miura, T.1    Jung, S.-M.2    Takahasi, S.-E.3
  • 14
    • 0141865505 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential operator with constant coefficients
    • T. Miura S. Miyajima 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
  • 15
    • 0142087794 scopus 로고    scopus 로고
    • A characterization of Hyers-Ulam stability of first order linear differential operators
    • T. Miura S. Miyajima S.-E. Takahasi 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
    • Miura, T.1    Miyajima, S.2    Takahasi, S.-E.3
  • 16
    • 0142078217 scopus 로고    scopus 로고
    • On the Hyers-Ulam stability of real continuous function valued differentiable map
    • T. Miura S.-E. Takahasi H. Choda On the Hyers-Ulam stability of real continuous function valued differentiable map Tokyo J. Math. 24 2001 467-476
    • (2001) Tokyo J. Math. , vol.24 , pp. 467-476
    • Miura, T.1    Takahasi, S.-E.2    Choda, H.3
  • 17
    • 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
  • 18
    • 0002028296 scopus 로고    scopus 로고
    • On the stability of functional equations and a problem of Ulam
    • Th.M. Rassias On the stability of functional equations and a problem of Ulam Acta Appl. Math. 62 2000 23-130
    • (2000) Acta Appl. Math. , vol.62 , pp. 23-130
    • Rassias, Th.M.1
  • 19
    • 0141740675 scopus 로고    scopus 로고
    • On the Hyers-Ulam stability of the Banach space-valued differential equation y′=λy
    • S.-E. Takahasi T. Miura S. Miyajima On the Hyers-Ulam stability of the Banach space-valued differential equation y ′ = λ y 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.