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Volumn 36, Issue 10-12, 1998, Pages 77-97

Stability of difference volterra equations: Direct liapunov method and numerical procedure

Author keywords

Liapunov functionals; Multistep method; Stability; Volterra discrete equations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRODIFFERENTIAL EQUATIONS; LYAPUNOV METHODS;

EID: 0032203140     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(98)80011-4     Document Type: Article
Times cited : (39)

References (14)
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    • Lubich, Ch.1
  • 3
    • 0002708328 scopus 로고
    • Stability analysis of discrete recurrence equations of Volterra type degenerate kernel
    • M.R. Crisci, Z. Jackiewicz, E. Russo and A. Vecchio, Stability analysis of discrete recurrence equations of Volterra type degenerate kernel, J. Math. Anal. and Appl. 162 (1), 49-62 (1991).
    • (1991) J. Math. Anal. and Appl. , vol.162 , Issue.1 , pp. 49-62
    • Crisci, M.R.1    Jackiewicz, Z.2    Russo, E.3    Vecchio, A.4
  • 7
    • 0042625893 scopus 로고
    • V. Lakshmikantham and D. Trigiante, Theory of Difference Equations: Numerical Methods and Applications, Academic Press, (1988).
    • (1988)
    • Lakshmikantham, V.1    Trigiante, D.2
  • 8
    • 0001074423 scopus 로고
    • Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
    • IAM Rap. Tecn. 107/94, (May 1994)
    • M.R. Crisci, V.B. Kolmanovskii, E. Russo and A. Vecchio, Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach, IAM Rap. Tecn. 107/94, (May 1994); J. of Integral Equations and Appl. 7 (4), 393-411 (1995).
    • (1995) J. of Integral Equations and Appl. , vol.7 , Issue.4 , pp. 393-411
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 9
    • 0042625894 scopus 로고
    • Global stability of nonlinear volterra difference systems
    • Trinity University, October
    • S.N. Elaydi, Global stability of nonlinear Volterra difference systems, Techn. Rep. N. 6, Trinity University, (October 1992).
    • (1992) Techn. Rep. N. 6
    • Elaydi, S.N.1
  • 10
    • 38149147243 scopus 로고
    • Periodicity and stability of linear volterra difference systems
    • S.N. Elaydi, Periodicity and stability of linear Volterra difference systems, J. Math. Anal. Appl. 181, 483-492 (1994).
    • (1994) J. Math. Anal. Appl. , vol.181 , pp. 483-492
    • Elaydi, S.N.1
  • 13
    • 0027663492 scopus 로고
    • New sufficient conditions for stability of slowly varying linear system
    • F. Amato, G. Celentano and F. Garofalo, New sufficient conditions for stability of slowly varying linear system, IEEE Trans. on Automatic Control 38 (9), 1409-1411 (1993).
    • (1993) IEEE Trans. on Automatic Control , vol.38 , Issue.9 , pp. 1409-1411
    • Amato, F.1    Celentano, G.2    Garofalo, F.3
  • 14
    • 84987438982 scopus 로고
    • Control system analysis and design via "the second method" of Liapunov. Part II. Discrete time systems
    • R.E. Kalman and J.E. Bertram, Control system analysis and design via "the second method" of Liapunov. Part II. Discrete time systems, Trans. ASME, Ser. D. J. Basic Engin. 82 (3), 394-400 (1960).
    • (1960) Trans. ASME, Ser. D. J. Basic Engin. , vol.82 , Issue.3 , pp. 394-400
    • Kalman, R.E.1    Bertram, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.