Asymptotic properties of solutions of discrete Volterra equation

Jarosław Morchało

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 47-56
  • ISSN: 0232-0525

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Morchało, Jarosław. "Asymptotic properties of solutions of discrete Volterra equation." Mathematica Slovaca 52.1 (2002): 47-56. <http://eudml.org/doc/32253>.

@article{Morchało2002,
author = {Morchało, Jarosław},
journal = {Mathematica Slovaca},
keywords = {Volterra difference equation; resolvent; asymptotic property; bounded solutions},
language = {eng},
number = {1},
pages = {47-56},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Asymptotic properties of solutions of discrete Volterra equation},
url = {http://eudml.org/doc/32253},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Morchało, Jarosław
TI - Asymptotic properties of solutions of discrete Volterra equation
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 47
EP - 56
LA - eng
KW - Volterra difference equation; resolvent; asymptotic property; bounded solutions
UR - http://eudml.org/doc/32253
ER -

References

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  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. (1991) Zbl0754.45002MR1135261
  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. (1997) Zbl0881.49023
  3. KELLY W., PETERSON A., Difference Equations. An Introduction with Applications, Academic Press, Boston, 1990. (1990) MR1765695
  4. KOLMANOWSKI V. B., MYSHKIS A. D., RICHARD J. P., Estimate of solutions for some Volterra difference equations, Nonlinear Anal. 40 (2000), 345-363. MR1768898
  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. (1998) MR1624864
  6. KWAPICZ M., On l p solutions of discrete Volterra equations, Aequationes Math. Univ. of Waterloo 43 (1992), 191-197. (1992) MR1158727
  7. LAKSHMIKANTHAN V., TRIGIANTE D., Theory of Difference Equations with Applications to Numerial Analysis, Academic Press, Boston, 1988. (1988) MR0939611
  8. MEDINA R., Solvability of discrete Volterra equations in weighted spaces, Dynam. Systems Appl. 5 (1996), 407-422. (1996) Zbl0865.39002MR1410397

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