# 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

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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

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