Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations

Ethiraju Thandapani; R. Arul

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 1, page 149-161
  • ISSN: 0011-4642

Abstract

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The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form Δ ( a n Δ m - 1 y n ) + p n Δ m - 1 y n + q n f ( y σ ( n + m - 1 ) ) = 0 where m is even, is studied. Examples are included to illustrate the results.

How to cite

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Thandapani, Ethiraju, and Arul, R.. "Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations." Czechoslovak Mathematical Journal 49.1 (1999): 149-161. <http://eudml.org/doc/30473>.

@article{Thandapani1999,
abstract = {The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a\_n \Delta ^\{m-1\} y\_n) + p\_n \Delta ^\{m-1\} y\_n + q\_n f(y\_\{\sigma (n+m-1)\}) = 0 \] where $m$ is even, is studied. Examples are included to illustrate the results.},
author = {Thandapani, Ethiraju, Arul, R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {higher order difference equation; oscillation; higher order difference equation; asymptotic and oscillatory behavior; damped nonlinear difference equation},
language = {eng},
number = {1},
pages = {149-161},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations},
url = {http://eudml.org/doc/30473},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Thandapani, Ethiraju
AU - Arul, R.
TI - Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 149
EP - 161
AB - The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0 \] where $m$ is even, is studied. Examples are included to illustrate the results.
LA - eng
KW - higher order difference equation; oscillation; higher order difference equation; asymptotic and oscillatory behavior; damped nonlinear difference equation
UR - http://eudml.org/doc/30473
ER -

References

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