메뉴 건너뛰기




Volumn 211, Issue 1, 1997, Pages 106-130

Boundedness of discrete Volterra equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; LYAPUNOV METHODS; PROBLEM SOLVING; SYSTEM STABILITY; THEOREM PROVING;

EID: 0031172966     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5430     Document Type: Article
Times cited : (35)

References (16)
  • 2
    • 0003213842 scopus 로고
    • The numerical solution of Volterra equations
    • North-Holland, Amsterdam
    • 2. H. Brunner and P. J. van der Houwen, The numerical solution of Volterra equations, in "CWI Monographs," Vol. 3, North-Holland, Amsterdam, 1986.
    • (1986) CWI Monographs , vol.3
    • Brunner, H.1    Van Der Houwen, P.J.2
  • 3
    • 0002708328 scopus 로고
    • Stability analysis of discrete recurrence equations of Volterra type degenerate kernel
    • 3. M. R. Crisci, Z. Jackiewicz, E. Russo, and A. Vecchio, Stability analysis of discrete recurrence equations of Volterra type degenerate kernel, J. Math. Anal. Appl. 162 (1991), 49-62.
    • (1991) J. Math. Anal. Appl. , vol.162 , pp. 49-62
    • Crisci, M.R.1    Jackiewicz, Z.2    Russo, E.3    Vecchio, A.4
  • 4
    • 0001074423 scopus 로고
    • Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
    • 4. 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, No. 4 (1995), 393-411.
    • (1995) J. Integral Equations Appl. , vol.7 , Issue.4 , pp. 393-411
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 5
    • 0032203140 scopus 로고    scopus 로고
    • Stability of difference Volterra equations: Direct Liapunov method and numerical procedure
    • in press
    • 5. M. R. Crisci, V. B. Kolmanovskii, E. Russo, and A. Vecchio, Stability of difference Volterra equations: Direct Liapunov method and numerical procedure, Comput. Math. Appl., in press.
    • Comput. Math. Appl.
    • Crisci, M.R.1    Kolmanovskii, V.B.2    Russo, E.3    Vecchio, A.4
  • 6
    • 0003239298 scopus 로고
    • Stability of Runge-Kutta methods for stiff nonlinear differential equations
    • North-Holland, Amsterdam
    • 6. K. Dekker and J. G. Verwer, Stability of Runge-Kutta methods for stiff nonlinear differential equations, in "CWI Monographs," North-Holland, Amsterdam, 1984.
    • (1984) CWI Monographs
    • Dekker, K.1    Verwer, J.G.2
  • 7
    • 0011029441 scopus 로고
    • Global stability of nonlinear Volterra difference systems
    • 7. S. N. Elaydi, Global stability of nonlinear Volterra difference systems, Differential Equations Dynam. Systems 2 (1994), 337-345.
    • (1994) Differential Equations Dynam. Systems , vol.2 , pp. 337-345
    • Elaydi, S.N.1
  • 12
    • 0000449295 scopus 로고
    • On the stability of linear multistep methods for Volterra convolution equations
    • 12. 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
  • 15
    • 0003297632 scopus 로고
    • Stability theory by Liapunov's second method
    • Tokyo
    • 15. T. Yoshizawa, "Stability Theory by Liapunov's Second Method," Math. Soc. of Japan, Tokyo, 1966.
    • (1966) Math. Soc. of Japan
    • Yoshizawa, T.1
  • 16
    • 0000869411 scopus 로고
    • Stability of infinite delay difference systems
    • 16. S. Zhang, Stability of infinite delay difference systems, Nonlinear Anal. 22 (1994), 1121-1129.
    • (1994) Nonlinear Anal. , vol.22 , pp. 1121-1129
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.