On the oscillation of certain neutral difference equations

Said R. Grace; G. G. Hamedani

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 3, page 307-321
  • ISSN: 0862-7959

Abstract

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Various new criteria for the oscillation of nonlinear neutral difference equations of the form i (xn-xn-h)+qn |xn-g|c sgnxn-g=0,   i=1,2,3 and c>0, are established.

How to cite

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Grace, Said R., and Hamedani, G. G.. "On the oscillation of certain neutral difference equations." Mathematica Bohemica 125.3 (2000): 307-321. <http://eudml.org/doc/248686>.

@article{Grace2000,
abstract = {Various new criteria for the oscillation of nonlinear neutral difference equations of the form i (xn-xn-h)+qn |xn-g|c sgnxn-g=0,   i=1,2,3 and c>0, are established.},
author = {Grace, Said R., Hamedani, G. G.},
journal = {Mathematica Bohemica},
keywords = {nonlinear neutral difference equations; oscillation; asymptotic behavior; oscillatory solutions; asymptotic behavior of solutions; nonlinear neutral difference equations; oscillation; asymptotic behavior},
language = {eng},
number = {3},
pages = {307-321},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the oscillation of certain neutral difference equations},
url = {http://eudml.org/doc/248686},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Grace, Said R.
AU - Hamedani, G. G.
TI - On the oscillation of certain neutral difference equations
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 3
SP - 307
EP - 321
AB - Various new criteria for the oscillation of nonlinear neutral difference equations of the form i (xn-xn-h)+qn |xn-g|c sgnxn-g=0,   i=1,2,3 and c>0, are established.
LA - eng
KW - nonlinear neutral difference equations; oscillation; asymptotic behavior; oscillatory solutions; asymptotic behavior of solutions; nonlinear neutral difference equations; oscillation; asymptotic behavior
UR - http://eudml.org/doc/248686
ER -

References

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  3. S. R. Grace B. S. Lalli, Oscillation theorems for second order delay and neutral difference equations, Utilitas Math. 45 (1994), 197-211. (1994) MR1284030
  4. I. Györi G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Oxford University Presss, Oxford, 1991. (1991) MR1168471
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  7. G. Ladas C. Qian, 10.1155/S0161171292000152, Internat. J. Math. Math. Sci. 15 (1992), 129-142. (1992) MR1143937DOI10.1155/S0161171292000152
  8. B. S. Lalli B. G. Zhang, Li Jan Zhao, 10.1016/0022-247X(91)90278-8, J. Math. Anal. Appl. 158 (1991), 213-233. (1991) MR1113411DOI10.1016/0022-247X(91)90278-8
  9. B. S. Lalli S. R. Grace, Oscillation theorems for second order neutral difference equations, Appl. Math. Comput. 62 (1994), 47-60. (1994) MR1274100
  10. Ch. G. Philos, Oscillation in a class of difference equations, Appl. Math. Comput. 48 (1992), 45-57. (1992) 
  11. Ch. G. Philos Y. G. Sficas, 10.1090/S0002-9939-1990-1024260-5, Proc. Amer. Math. Soc. 108 (1990), 107-115. (1990) MR1024260DOI10.1090/S0002-9939-1990-1024260-5
  12. J. Yu Z. Wang C. Qian, 10.1017/S0004972700030057, Bull. Austral. Math. Soc. 45 (1992), 195-200. (1992) MR1155477DOI10.1017/S0004972700030057

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