Volterra summation equations and second order difference equations

Jarosław Morchało

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 1, page 41-56
  • ISSN: 0862-7959

Abstract

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The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied.

How to cite

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Morchało, Jarosław. "Volterra summation equations and second order difference equations." Mathematica Bohemica 135.1 (2010): 41-56. <http://eudml.org/doc/38109>.

@article{Morchało2010,
abstract = {The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied.},
author = {Morchało, Jarosław},
journal = {Mathematica Bohemica},
keywords = {Volterra summation equations; second order difference equations; Volterra summation equation; second order linear difference equation; oscillation; asymptotic},
language = {eng},
number = {1},
pages = {41-56},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Volterra summation equations and second order difference equations},
url = {http://eudml.org/doc/38109},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Morchało, Jarosław
TI - Volterra summation equations and second order difference equations
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 1
SP - 41
EP - 56
AB - The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied.
LA - eng
KW - Volterra summation equations; second order difference equations; Volterra summation equation; second order linear difference equation; oscillation; asymptotic
UR - http://eudml.org/doc/38109
ER -

References

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  1. Agarwal, A. P., Difference Equations and Inequalities, Marcel Dekker, New York (1992). (1992) Zbl0925.39001MR1155840
  2. Agarwal, A. P., Wong, P. I. Y., Advanced Topics in Difference Equations, Kluwer, Dordrecht (1997). (1997) Zbl0878.39001
  3. Agarwal, A. P., Domoshnitsky, A., 10.1016/j.amc.2005.02.062, Appl. Math. Comput. 173 (2006), 177-195. (2006) MR2203380DOI10.1016/j.amc.2005.02.062
  4. Domoshnitsky, A., Drakhlin, M., Stavroulakis, I. P., 10.1016/j.mcm.2004.02.043, Math. Comput. Modelling 42 (2005), 193-205. (2005) MR2162397DOI10.1016/j.mcm.2004.02.043
  5. Graef, J. R., Thandapani, E., 10.1016/S0893-9659(99)00105-6, Appl. Math. Lett. 12 (1999), 79-84. (1999) MR1750064DOI10.1016/S0893-9659(99)00105-6
  6. Morchało, J., Asymptotic properties of solutions of discrete Volterra equations, Math. Slovaca 52 (2002), 47-56. (2002) MR1901013
  7. Morchało, J., Szmanda, A., 10.1016/j.na.2005.02.007, Nonlinear Anal. 63 (2005), 801-811. (2005) Zbl1224.39022MR2643354DOI10.1016/j.na.2005.02.007
  8. Polniakowski, Z., 10.4064/ap-5-1-1-24, Annales Polonici Mathematici 5 (1958), 1-24. (1958) Zbl0082.27401MR0100742DOI10.4064/ap-5-1-1-24
  9. Thandapani, E., Lalli, B. S., 10.1016/0893-9659(94)90060-4, Appl. Math. Lett. 7 (1994), 89-93. (1994) MR1349901DOI10.1016/0893-9659(94)90060-4
  10. Thandapani, E., Ravi, K., On the oscillation of Volterra summation equations, Math. Bohem. 126 (2001), 41-52. (2001) Zbl0982.39005MR1825856

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