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Volumn 6, Issue 2, 2000, Pages 127-145

Stability of discrete Volterra equations of Hammerstein type

Author keywords

Direct quadrature methods; Discrete Volterra equations; Hammerstein; Stability

Indexed keywords


EID: 0013106905     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 5344250931 scopus 로고
    • Stability analysis of product θ-methods for Abel integral equations of second kind
    • V.L. Bakke and Z. Jackiewicz, "Stability analysis of product θ-methods for Abel integral equations of second kind", Num. Math., 48 (1986), 127-136.
    • (1986) Num. Math. , vol.48 , pp. 127-136
    • Bakke, V.L.1    Jackiewicz, Z.2
  • 2
    • 38249018314 scopus 로고
    • A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels
    • A. Bellen, Z. Jackiewicz, R. Vermiglio and M. Zennaro, "A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels", J. Math. Anal. Appl., 152 (1990), 324-342.
    • (1990) J. Math. Anal. Appl. , vol.152 , pp. 324-342
    • Bellen, A.1    Jackiewicz, Z.2    Vermiglio, R.3    Zennaro, M.4
  • 3
    • 21844487319 scopus 로고
    • Stability of collocation for weakly singular Volterra equations
    • L. Blank, "Stability of collocation for weakly singular Volterra equations", IMA J. Num. Anal., 15 (1995), 357-375.
    • (1995) IMA J. Num. Anal. , vol.15 , pp. 357-375
    • Blank, L.1
  • 5
    • 0001074423 scopus 로고
    • Stability of continuous and discrete Volterra integro-difierential equations by Liapunov approach
    • M.R. Crisci, V.B. Kolmanovskii, E. Russo and A. Vecchio, "Stability of continuous and discrete Volterra integro-difierential equations by Liapunov approach", J. Integral Eqs. and Appl., 7(4) (1995), 393-411.
    • (1995) J. Integral Eqs. and Appl. , vol.7 , Issue.4 , pp. 393-411
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 6
    • 57649175016 scopus 로고    scopus 로고
    • Stability of difference Volterra equations: Direct Liapunov method and numerical procedure
    • Accepted for publication
    • M.R. Crisci, V.B. Kolmanovskii, E. Russo and A. Vecchio, "Stability of difference Volterra equations: direct Liapunov method and numerical procedure". Accepted for publication in Comp. Math. with Appl.
    • Comp. Math. with Appl.
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 9
    • 0007324428 scopus 로고    scopus 로고
    • Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type
    • S.N. Elaydi and S. Murakami, "Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type", J. Difference Eqs. and Appl., 2 (1996), 401-410.
    • (1996) J. Difference Eqs. and Appl. , vol.2 , pp. 401-410
    • Elaydi, S.N.1    Murakami, S.2
  • 11
    • 0021382198 scopus 로고
    • On the stability of Volterra Runge-Kutta methods
    • F. Hairer and Ch. Lubich, "On the stability of Volterra Runge-Kutta methods", SIAM J. Num. Anal., 21(1) (1984), 123-134.
    • (1984) SIAM J. Num. Anal. , vol.21 , Issue.1 , pp. 123-134
    • Hairer, F.1    Lubich, Ch.2
  • 13
    • 0000449295 scopus 로고
    • On the stability multistep methods for Volterra convolution equations
    • Ch. Lubich, "On the stability multistep methods for Volterra convolution equations", IMA J. Num. Anal. (1983), 439-465.
    • (1983) IMA J. Num. Anal. , pp. 439-465
    • Lubich, Ch.1
  • 14
    • 0042894347 scopus 로고
    • Positive quadratures for Volterra equations
    • O. Nevanlinna, "Positive quadratures for Volterra equations", Computing, 16 (1976), 349-357.
    • (1976) Computing , vol.16 , pp. 349-357
    • Nevanlinna, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.