# On the oscillation of certain difference equations

Said R. Grace; H. A. El-Morshedy

Mathematica Bohemica (2000)

- Volume: 125, Issue: 4, page 421-430
- ISSN: 0862-7959

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topGrace, Said R., and El-Morshedy, H. A.. "On the oscillation of certain difference equations." Mathematica Bohemica 125.4 (2000): 421-430. <http://eudml.org/doc/248674>.

@article{Grace2000,

abstract = {In this paper we study the oscillation of the difference equations of the form
2xn+pnxn+f(n, xn-g, xn-h)=0,
in comparison with certain difference equations of order one whose oscillatory character is known. The results can be applied to the difference equation
2xn+pnxn+qn|xn-g||xn-h|sgnxn-g=0,
where $\lambda $ and $\mu $ are real constants, $\lambda >0$ and $\mu \ge 0$.},

author = {Grace, Said R., El-Morshedy, H. A.},

journal = {Mathematica Bohemica},

keywords = {oscillation; delay difference equations; forced equations; oscillation; delay difference equations; forced equations},

language = {eng},

number = {4},

pages = {421-430},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the oscillation of certain difference equations},

url = {http://eudml.org/doc/248674},

volume = {125},

year = {2000},

}

TY - JOUR

AU - Grace, Said R.

AU - El-Morshedy, H. A.

TI - On the oscillation of certain difference equations

JO - Mathematica Bohemica

PY - 2000

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 125

IS - 4

SP - 421

EP - 430

AB - In this paper we study the oscillation of the difference equations of the form
2xn+pnxn+f(n, xn-g, xn-h)=0,
in comparison with certain difference equations of order one whose oscillatory character is known. The results can be applied to the difference equation
2xn+pnxn+qn|xn-g||xn-h|sgnxn-g=0,
where $\lambda $ and $\mu $ are real constants, $\lambda >0$ and $\mu \ge 0$.

LA - eng

KW - oscillation; delay difference equations; forced equations; oscillation; delay difference equations; forced equations

UR - http://eudml.org/doc/248674

ER -

## References

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- S. R. Grace, Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term, Math. Slovaca 44 (1994), no. 3, 303-314. (1994) Zbl0815.34061MR1307320
- S. R. Grace B. S. Lalli, 10.1016/0022-247X(87)90333-7, J. Math. Anal. Appl. 123 (1987), 584-586. (1987) MR0883711DOI10.1016/0022-247X(87)90333-7
- S. R. Grace B. S. Lalli, Oscillation theorems for second order delay and neutrał difference equations, Utilitas. Math. 45 (1994), 197-211. (1994) MR1284030
- S. R. Grace B. S. Lalli, 10.1006/jmaa.1994.1346, J. Math. Anal. Appl. 187 (1994), 91-106. (1994) MR1296607DOI10.1006/jmaa.1994.1346
- I. Györi G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Oxford Univ., Oxford, 1991. (1991) MR1168471
- J. W. Hooker W. T. Patula, 10.1016/0022-247X(83)90088-4, J. Math. Anal. Appl. 91 (1983), 9-29. (1983) MR0688528DOI10.1016/0022-247X(83)90088-4
- G. Ladas C. Qian, 10.1155/S0161171292000152, Internt. J. Math. Math. Sci. 15 (1992), 129-142. (1992) MR1143937DOI10.1155/S0161171292000152
- B. G. Zhang, 10.1006/jmaa.1993.1052, J. Math. Anal. Appl. 173 (1993), 58-68. (1993) Zbl0780.39006MR1205909DOI10.1006/jmaa.1993.1052

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