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 |
. |
Category:
|
math |
. |
MSC:
|
39A11 |
MSC:
|
39A12 |
MSC:
|
45D05 |
idZBL:
|
Zbl 1009.39005 |
idMR:
|
MR1901013 |
. |
Date available:
|
2009-09-25T14:05:50Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132141 |
. |
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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