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Title: Asymptotic properties of solutions of discrete Volterra equation (English)
Author: Morchało, Jarosław
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 52
Issue: 1
Year: 2002
Pages: 47-56
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Category: math
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MSC: 39A11
MSC: 39A12
MSC: 45D05
idZBL: Zbl 1009.39005
idMR: MR1901013
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Date available: 2009-09-25T14:05:50Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132141
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Reference: [1] CRISCI M., JACKIEWICZ Z., RUSSO E., VECCHIO A.: Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels.J. Math. Anal. Appl. 162 (1991), 49-62. Zbl 0754.45002, MR 1135261
Reference: [2] DYMKOV M. P., GAISHUN J. V.: Linear-quadratic Optimal Control Problem for a Discrete Volterra Equation.Bull. Polish Acad. Technical Sci. 45 (1997), 251-261. Zbl 0881.49023
Reference: [3] KELLY W., PETERSON A.: Difference Equations. An Introduction with Applications.Academic Press, Boston, 1990. MR 1765695
Reference: [4] KOLMANOWSKI V. B., MYSHKIS A. D., RICHARD J. P.: Estimate of solutions for some Volterra difference equations.Nonlinear Anal. 40 (2000), 345-363. MR 1768898
Reference: [5] KOLMANOWSKI V. B., MYSHKIS A. D.: Stability in the first approximation of some Volterra difference equations.J. Differ. Equations Appl. 3 (1998), 563-569. MR 1624864
Reference: [6] KWAPICZ M.: On $l_p$ solutions of discrete Volterra equations.Aequationes Math. Univ. of Waterloo 43 (1992), 191-197. MR 1158727
Reference: [7] LAKSHMIKANTHAN V., TRIGIANTE D.: Theory of Difference Equations with Applications to Numerial Analysis.Academic Press, Boston, 1988. MR 0939611
Reference: [8] MEDINA R.: Solvability of discrete Volterra equations in weighted spaces.Dynam. Systems Appl. 5 (1996), 407-422. Zbl 0865.39002, MR 1410397
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