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Volumn 12, Issue 12, 2006, Pages 1257-1275

On exact convergence rates for solutions of linear systems of Volterra difference equations

Author keywords

Asymptotic behaviour; Bounded solutions; Characteristic roots; Subexponential distributions; Subexponential functions; Volterra difference equations

Indexed keywords


EID: 46649104814     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190600986594     Document Type: Article
Times cited : (48)

References (10)
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    • Appleby, J.A.D.1    Reynolds, D.W.2
  • 3
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    • A theorem on sums of independent positive random variables and its application to branching random processes
    • Chistyakov, V.P., 1964, A theorem on sums of independent positive random variables and its application to branching random processes. Theory of Probability and Its Applications, 9, 640-648.
    • (1964) Theory of Probability and Its Applications , vol.9 , pp. 640-648
    • Chistyakov, V.P.1
  • 5
    • 0347852925 scopus 로고
    • Stability of Volterra difference equations of convolution type
    • River Edge, NJ: World Science Publishing
    • Elaydi, S., 1993, Stability of Volterra difference equations of convolution type. Dynamical Systems, Nankai Ser. Pure Appl. Math. Theoret. Phys (River Edge, NJ: World Science Publishing), Vol. 4, pp. 66-72.
    • (1993) Dynamical Systems, Nankai Ser. Pure Appl. Math. Theoret. Phys , vol.4 , pp. 66-72
    • Elaydi, S.1
  • 6
    • 3242707352 scopus 로고    scopus 로고
    • Global stability of difference equations
    • Berlin: de Gruyter
    • Elaydi, S., 1996, Global stability of difference equations. World Congress of Nonlinear Analysts'92 (Berlin: de Gruyter), Vol. I-IV, pp. 1131-1138.
    • (1996) World Congress of Nonlinear Analysts'92 , vol.I-IV , pp. 1131-1138
    • Elaydi, S.1
  • 7
    • 0007324428 scopus 로고    scopus 로고
    • Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type
    • Elaydi, S. and Murakami, S., 1996, Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Journal of Differential Equations and Applications, 2, 401-410.
    • (1996) Journal of Differential Equations and Applications , vol.2 , pp. 401-410
    • Elaydi, S.1    Murakami, S.2
  • 8
    • 84974274978 scopus 로고
    • A limit theorem for the tails of discrete infinitely divisible laws with applications to fluctuation theory
    • Embrechts, P. and Hawkes, J., 1982, A limit theorem for the tails of discrete infinitely divisible laws with applications to fluctuation theory. Journal of Australian Mathematical Society (Series A), 32, 412-422.
    • (1982) Journal of Australian Mathematical Society (Series A) , vol.32 , pp. 412-422
    • Embrechts, P.1    Hawkes, J.2
  • 9
    • 9744279860 scopus 로고    scopus 로고
    • The behavior of solutions of linear Volterra difference equations with infinite delay
    • Philos, Ch.G. and Purnaras, I.K., 2004, The behavior of solutions of linear Volterra difference equations with infinite delay. Computational Mathematics and Applications, 47, 1555-1563.
    • (2004) Computational Mathematics and Applications , vol.47 , pp. 1555-1563
    • Philos, C.G.1    Purnaras, I.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.