Asymptotic properties of the solutions of the second order difference equation

Małgorzata Migda; Janusz Migda

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 4, page 467-476
  • ISSN: 0044-8753

Abstract

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Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form Δ 2 x n = a n ϕ ( x n + k ) are studied.

How to cite

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Migda, Małgorzata, and Migda, Janusz. "Asymptotic properties of the solutions of the second order difference equation." Archivum Mathematicum 034.4 (1998): 467-476. <http://eudml.org/doc/248175>.

@article{Migda1998,
abstract = {Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form \[ \Delta ^2 x\_n = a\_n \varphi (x\_\{n+k\}) \] are studied.},
author = {Migda, Małgorzata, Migda, Janusz},
journal = {Archivum Mathematicum},
keywords = {difference equation; asymptotic behaviour; second-order nonlinear difference equation; asymptotic behaviour; perturbed equation},
language = {eng},
number = {4},
pages = {467-476},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic properties of the solutions of the second order difference equation},
url = {http://eudml.org/doc/248175},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Migda, Małgorzata
AU - Migda, Janusz
TI - Asymptotic properties of the solutions of the second order difference equation
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 4
SP - 467
EP - 476
AB - Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form \[ \Delta ^2 x_n = a_n \varphi (x_{n+k}) \] are studied.
LA - eng
KW - difference equation; asymptotic behaviour; second-order nonlinear difference equation; asymptotic behaviour; perturbed equation
UR - http://eudml.org/doc/248175
ER -

References

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  1. Difference Equations and Inequalities, Marcel Dekker, New York, 1992. Zbl0952.39001MR1155840
  2. Asymptotic behaviour of the solutions of the second order difference equation, Proc. Amer. Math. Soc. 99(1)  (1987), 135-140. MR0866443
  3. Asymptotic behaviour of solutions of difference equations of second order, J. of Com. and Appl. Math. 47 (1993), 141-149. MR1237310
  4. A second order nonlinear difference equation: oscillation and asymptotic behaviour, J. Math. Anal. Appl. 91 (1983), 9-29. MR0688528
  5. Asymptotic properties of solutions of higher order difference equations, (in preparation). Zbl0702.39002
  6. The periodic solutions of the second order nonlinear difference equation, Publ. Math. 32 (1988), 49-56. MR0939768
  7. Oscillatory properties of solutions of some difference systems, Radovi Mat. 6 (1990), 205-214. MR1096703

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