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Volumn 10, Issue 4, 1998, Pages 397-416

Nonlinear volterra Integro-Differential equations stability and numerical stability of θ-methods

Author keywords

Integro differential equations; Lyapunov stability; Numerical stability

Indexed keywords


EID: 0011179602     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181074246     Document Type: Article
Times cited : (11)

References (31)
  • 3
    • 0001074423 scopus 로고
    • Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
    • M.R. Crisci, V.B. Kolmanovskii, E. Russo and A. Vecchio, Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach, J. Integral Equations Appl. 7 (1995), 393-411.
    • (1995) J. Integral Equations Appl. , vol.7 , pp. 393-411
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 6
    • 0029721044 scopus 로고    scopus 로고
    • Qualitative behavior and stability of solutions of discretised nonlinear Volterra integral equations of convolution type
    • N.J. Ford and C.T.H. Baker, Qualitative behavior and stability of solutions of discretised nonlinear Volterra integral equations of convolution type, J. Comp. Appl. Math. 66 (1996), 213-225.
    • (1996) J. Comp. Appl. Math. , vol.66 , pp. 213-225
    • Ford, N.J.1    Baker, C.T.H.2
  • 10
    • 0001044031 scopus 로고
    • Asymptotic stability analysis of θ-methods for functional differential equations
    • Z. Jackiewicz, Asymptotic stability analysis of θ-methods for functional differential equations, Numer. Math. 43 (1984), 389-396.
    • (1984) Numer. Math. , vol.43 , pp. 389-396
    • Jackiewicz, Z.1
  • 17
    • 84966229017 scopus 로고
    • Note on a nonlinear Volterra equation
    • J.J. Levin and J.A. Nohel, Note on a nonlinear Volterra equation, Proc. Amer. Math. Soc. 14 (1963), 924-929.
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 924-929
    • Levin, J.J.1    Nohel, J.A.2
  • 18
    • 0039052034 scopus 로고
    • Perturbations of a nonlinear Volterra equation
    • J.J. Levin and J.A. Nohel, Perturbations of a nonlinear Volterra equation, Michigan Math. J. 12 (1965), 431-444.
    • (1965) Michigan Math. J. , vol.12 , pp. 431-444
    • Levin, J.J.1    Nohel, J.A.2
  • 20
    • 0000449295 scopus 로고
    • On the stability of linear multistep methods for Volterra convolution equations
    • Ch. Lubich, On the stability of linear multistep methods for Volterra convolution equations, IMA J. Numer. Anal. 3 (1983), 439-465.
    • (1983) IMA J. Numer. Anal. , vol.3 , pp. 439-465
    • Lubich, Ch.1
  • 22
    • 0039453418 scopus 로고
    • A-stable linear multistep methods for Volterra integro-differential equations
    • J. Matthys, A-stable linear multistep methods for Volterra integro-differential equations, Numer. Math. 27 (1976), 85-94.
    • (1976) Numer. Math. , vol.27 , pp. 85-94
    • Matthys, J.1
  • 24
    • 0000683386 scopus 로고
    • Frequency domain methods for Volterra equations
    • J.A. Nohel and D.F. Shea, Frequency domain methods for Volterra equations, Adv. in Math. 22 (1976), 278-304.
    • (1976) Adv. in Math. , vol.22 , pp. 278-304
    • Nohel, J.A.1    Shea, D.F.2
  • 25
    • 0016057419 scopus 로고
    • Dichotomy and stability by frequency domain methods
    • V.M. Popov, Dichotomy and stability by frequency domain methods, Proc. IEE-E 62 (1974), 548-562.
    • (1974) Proc. IEE-E , vol.62 , pp. 548-562
    • Popov, V.M.1
  • 28
    • 0015758180 scopus 로고
    • Linear multistep methods for the numerical solution of Volterra functional differential equations
    • L. Tavernini, Linear multistep methods for the numerical solution of Volterra functional differential equations, Appl. Anal. 1 (1973), 169-185.
    • (1973) Appl. Anal. , vol.1 , pp. 169-185
    • Tavernini, L.1
  • 30
  • 31
    • 0007851839 scopus 로고
    • The construction of reducible quadrature rules for Volterra integral and integro-differential equations
    • P.H.M. Wolkenfelt, The construction of reducible quadrature rules for Volterra integral and integro-differential equations, IMA J. Numer. Anal. 2 (1982), 131-152
    • (1982) IMA J. Numer. Anal. , vol.2 , pp. 131-152
    • Wolkenfelt, P.H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.