Oscillation of third-order delay difference equations with negative damping term

Martin Bohner; Srinivasan Geetha; Srinivasan Selvarangam; Ethiraju Thandapani

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)

  • Volume: 72, Issue: 1
  • ISSN: 0365-1029

Abstract

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The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.

How to cite

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Martin Bohner, et al. "Oscillation of third-order delay difference equations with negative damping term." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 72.1 (2018): null. <http://eudml.org/doc/290765>.

@article{MartinBohner2018,
abstract = {The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.},
author = {Martin Bohner, Srinivasan Geetha, Srinivasan Selvarangam, Ethiraju Thandapani},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Third-order delay difference equation; comparison theorems; oscillation; asymptotic behavior},
language = {eng},
number = {1},
pages = {null},
title = {Oscillation of third-order delay difference equations with negative damping term},
url = {http://eudml.org/doc/290765},
volume = {72},
year = {2018},
}

TY - JOUR
AU - Martin Bohner
AU - Srinivasan Geetha
AU - Srinivasan Selvarangam
AU - Ethiraju Thandapani
TI - Oscillation of third-order delay difference equations with negative damping term
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2018
VL - 72
IS - 1
SP - null
AB - The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.
LA - eng
KW - Third-order delay difference equation; comparison theorems; oscillation; asymptotic behavior
UR - http://eudml.org/doc/290765
ER -

References

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  13. Smith, B., Taylor, Jr., W. E., Nonlinear third-order difference equations: oscillatory and asymptotic behavior, Tamkang J. Math. 19 (3) (1988), 91-95. 
  14. Tang, X., Liu, Y., Oscillation for nonlinear delay difference equations, Tamkang J. Math. 32 (4) (2001), 275-280. 
  15. Thandapani, E., Mahalingam, K., Oscillatory properties of third order neutral delay difference equations, Demonstratio Math. 35 (2) (2002), 325-337. 
  16. Thandapani, E., Pandian, S., Balasubramaniam, R. K., Oscillatory behavior of solutions of third order quasilinear delay difference equations, Stud. Univ. Zilina Math. Ser. 19 (1) (2005), 65-78. 
  17. Thandapani, E., Selvarangam, S., Oscillation theorems for second order quasilinear neutral difference equations, J. Math. Comput. Sci. 2 (4) (2012), 866-879. 

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