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BOUNDEDNESS OF DISCRETE VOLTERRA SYSTEMS
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 Title & Authors
BOUNDEDNESS OF DISCRETE VOLTERRA SYSTEMS
Choi, Sung-Kyu; Goo, Yoon-Hoe; Koo, Nam-Jip;
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 Abstract
We investigate the representation of the solution of discrete linear Volterra difference systems by means of the resolvent matrix and fundamental matrix, respectively, and then study the boundedness of the solutions of discrete Volterra systems by improving the assumptions and the proofs of Medina#s results in [6].
 Keywords
asymptotic equivalence;asymptotic equilibrium;discrete Volterra system;resolvent matrix;fundamental matrix;
 Language
English
 Cited by
1.
Asymptotic properties of solutions of difference equations with several delays and Volterra summation equations, Applied Mathematics and Computation, 2013, 220, 365  crossref(new windwow)
 References
1.
S. K. Choi and N. J. Koo, Asymptotic property of linear Volterra difference systems, J. Math. Anal. Appl. 321 (2006), no. 1, 260-272 crossref(new window)

2.
S. K. Choi, N. J. Koo, and Y. H. Goo, Asymptotic property of nonlinear Volterra difference systems, Nonlinear Anal. 51 (2002), no. 2, Ser. A: Theory Methods, 321- 337 crossref(new window)

3.
M. R. Crisci, V. B. Kolmanovskii, E. Russo, and A. Vecchio, Boundedness of discrete Volterra equations, J. Math. Anal. Appl. 211 (1997), no. 1, 106-130 crossref(new window)

4.
S. Elaydi, Periodicity and stability of linear Volterra difference systems, J. Math. Anal. Appl. 181 (1994), no. 2, 483-492 crossref(new window)

5.
S. Elaydi, An introduction to difference equations, Second edition, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1999

6.
M. Medina, Asymptotic behavior of Volterra difference equations, Comput. Math. Appl. 41 (2001), no. 5-6, 679-687 crossref(new window)

7.
Y. Raffoul, Boundedness and periodicity of Volterra systems of difference equations, J. Differ. Equations Appl. 4 (1998), no. 4, 381-393 crossref(new window)