Oscillation and nonoscillation of second order neutral delay difference equations
Ethiraju Thandapani; K. Mahalingam
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 4, page 935-947
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topThandapani, Ethiraju, and Mahalingam, K.. "Oscillation and nonoscillation of second order neutral delay difference equations." Czechoslovak Mathematical Journal 53.4 (2003): 935-947. <http://eudml.org/doc/30826>.
@article{Thandapani2003,
abstract = {Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation \[ \Delta (c\_n\Delta (y\_n+p\_ny\_\{n-k\}))+q\_ny\_\{n+1-m\}^\beta =0,\quad n\ge n\_0 \]
where $k$, $m$ are positive integers and $\beta $ is a ratio of odd positive integers are established, under the condition $\sum _\{n=n_0\}^\{\infty \}\frac\{1\}\{c_n\}<\{\infty \}.$},
author = {Thandapani, Ethiraju, Mahalingam, K.},
journal = {Czechoslovak Mathematical Journal},
keywords = {neutral delay; difference equation; oscillation; neutral delay; difference equation; oscillation},
language = {eng},
number = {4},
pages = {935-947},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation and nonoscillation of second order neutral delay difference equations},
url = {http://eudml.org/doc/30826},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Thandapani, Ethiraju
AU - Mahalingam, K.
TI - Oscillation and nonoscillation of second order neutral delay difference equations
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 935
EP - 947
AB - Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation \[ \Delta (c_n\Delta (y_n+p_ny_{n-k}))+q_ny_{n+1-m}^\beta =0,\quad n\ge n_0 \]
where $k$, $m$ are positive integers and $\beta $ is a ratio of odd positive integers are established, under the condition $\sum _{n=n_0}^{\infty }\frac{1}{c_n}<{\infty }.$
LA - eng
KW - neutral delay; difference equation; oscillation; neutral delay; difference equation; oscillation
UR - http://eudml.org/doc/30826
ER -
References
top- Difference Equations and Inequalities, Secon Edition, Marcel Dekker, New York, 2000. (2000) MR1740241
- Advanced Topics in Difference Equations, Kluwer Publ., Dordrecht, 1997. (1997) MR1447437
- Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, 1991. (1991) MR1147908
- Classification and existence of positive solutions of second order nonlinear neutral difference equations, Funk. Ekv. 40 (1997), 371–393. (1997)
- 10.1006/jmaa.1993.1052, J. Math. Anal. Appl. 173 (1993), 58–68. (1993) Zbl0780.39006MR1205909DOI10.1006/jmaa.1993.1052
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.