Iterated oscillation criteria for delay partial difference equations
Mathematica Bohemica (2014)
- Volume: 139, Issue: 3, page 437-450
- ISSN: 0862-7959
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topKarpuz, Başak, and Öcalan, Özkan. "Iterated oscillation criteria for delay partial difference equations." Mathematica Bohemica 139.3 (2014): 437-450. <http://eudml.org/doc/262002>.
@article{Karpuz2014,
abstract = {In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples, we also provide 3D graphics, which are plotted by a mathematical programming language.},
author = {Karpuz, Başak, Öcalan, Özkan},
journal = {Mathematica Bohemica},
keywords = {partial difference equation; oscillation; variable coefficient; oscillation criterion; linear partial difference equation},
language = {eng},
number = {3},
pages = {437-450},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Iterated oscillation criteria for delay partial difference equations},
url = {http://eudml.org/doc/262002},
volume = {139},
year = {2014},
}
TY - JOUR
AU - Karpuz, Başak
AU - Öcalan, Özkan
TI - Iterated oscillation criteria for delay partial difference equations
JO - Mathematica Bohemica
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 139
IS - 3
SP - 437
EP - 450
AB - In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples, we also provide 3D graphics, which are plotted by a mathematical programming language.
LA - eng
KW - partial difference equation; oscillation; variable coefficient; oscillation criterion; linear partial difference equation
UR - http://eudml.org/doc/262002
ER -
References
top- Cheng, S. S., Partial Difference Equations, Advances in Discrete Mathematics and Applications 3 Taylor and Francis, London (2003). (2003) Zbl1016.39001MR2193620
- Karpuz, B., Öcalan, Ö., 10.1016/j.camwa.2009.09.005, Comput. Math. Appl. 59 (2010), 55-63. (2010) Zbl1189.39011MR2575491DOI10.1016/j.camwa.2009.09.005
- Zhang, B. G., Agarwal, R. P., 10.1016/S0898-1221(03)00099-3, Comput. Math. Appl. 45 (2003), 1253-1295. (2003) Zbl1062.39011MR2000596DOI10.1016/S0898-1221(03)00099-3
- Zhang, B. G., Liu, S. T., 10.1006/jmaa.1997.5239, J. Math. Anal. Appl. 206 (1997), 480-492. (1997) Zbl0877.39012MR1433951DOI10.1006/jmaa.1997.5239
- Zhang, B. G., Liu, S. T., Cheng, S. S., 10.1080/10236199508808022, J. Difference Equ. Appl. 1 (1995), 215-226. (1995) Zbl0856.39015MR1350439DOI10.1080/10236199508808022
- Zhang, B. G., Zhou, Y., Qualitative Analysis of Delay Partial Difference Equations, Contemporary Mathematics and Its Applications 4 Hindawi Publishing Corporation, New York (2007). (2007) Zbl1153.35078MR2388616
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