On the oscillation of certain neutral difference equations
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 307-321

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Various new criteria for the oscillation of nonlinear neutral difference equations of the form \BTRI^i (x_n-x_{n-h})+q_n |x_{n-g}|^c \sgn x_{n-g}=0,\quad i=1,2,3 and c>0, are established.
Various new criteria for the oscillation of nonlinear neutral difference equations of the form \BTRI^i (x_n-x_{n-h})+q_n |x_{n-g}|^c \sgn x_{n-g}=0,\quad i=1,2,3 and c>0, are established.
DOI : 10.21136/MB.2000.126132
Classification : 34K25, 34K99, 39A10, 39A11
Keywords: nonlinear neutral difference equations; oscillation; asymptotic behavior; oscillatory solutions; asymptotic behavior of solutions
Grace, S. R.; Hamedani, G. G. On the oscillation of certain neutral difference equations. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 307-321. doi: 10.21136/MB.2000.126132
@article{10_21136_MB_2000_126132,
     author = {Grace, S. R. and Hamedani, G. G.},
     title = {On the oscillation of certain neutral difference equations},
     journal = {Mathematica Bohemica},
     pages = {307--321},
     year = {2000},
     volume = {125},
     number = {3},
     doi = {10.21136/MB.2000.126132},
     mrnumber = {1790122},
     zbl = {0969.39006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126132/}
}
TY  - JOUR
AU  - Grace, S. R.
AU  - Hamedani, G. G.
TI  - On the oscillation of certain neutral difference equations
JO  - Mathematica Bohemica
PY  - 2000
SP  - 307
EP  - 321
VL  - 125
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126132/
DO  - 10.21136/MB.2000.126132
LA  - en
ID  - 10_21136_MB_2000_126132
ER  - 
%0 Journal Article
%A Grace, S. R.
%A Hamedani, G. G.
%T On the oscillation of certain neutral difference equations
%J Mathematica Bohemica
%D 2000
%P 307-321
%V 125
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126132/
%R 10.21136/MB.2000.126132
%G en
%F 10_21136_MB_2000_126132

[1] D. A. Gedrgion E. A. Grove G. Ladas: Oscillation of neutral difference equations. Appl. Anal. 33 (1989), 243-253. | DOI

[2] S. R. Grace B. S. Lalli: Oscillation theorems for forced neutral difference equations. J. Math. Anal. Appl. 187 (1994), 91-106. | DOI | MR

[3] S. R. Grace B. S. Lalli: Oscillation theorems for second order delay and neutral difference equations. Utilitas Math. 45 (1994), 197-211. | MR

[4] I. Györi G. Ladas: Oscillation Theory of Delay Differential Equations with Applications. Oxford University Presss, Oxford, 1991. | MR

[5] J. W. Hooker W. T. Patula: A second order nonlinear difference equation: Oscillation and asymptotic behavior. J. Math. Anal. Appl. 91 (1983), 9-29. | DOI | MR

[6] J. W. Hooker W. T. Patula: Growth and oscillation properties of solutions of a fourth order linear difference equation. J. Austral. Math. Soc. Ser. B SS (1985), 310-328. | MR

[7] G. Ladas C. Qian: Comparison results and linearized oscillations for higher order difference equations. Internat. J. Math. Math. Sci. 15 (1992), 129-142. | DOI | MR

[8] B. S. Lalli B. G. Zhang, Li Jan Zhao: On oscillation and existence of positive solutions of neutral difference equations. J. Math. Anal. Appl. 158 (1991), 213-233. | DOI | MR

[9] B. S. Lalli S. R. Grace: Oscillation theorems for second order neutral difference equations. Appl. Math. Comput. 62 (1994), 47-60. | MR

[10] Ch. G. Philos: Oscillation in a class of difference equations. Appl. Math. Comput. 48 (1992), 45-57.

[11] Ch. G. Philos Y. G. Sficas: Positive solutions of difference equations. Proc. Amer. Math. Soc. 108 (1990), 107-115. | DOI | MR

[12] J. Yu Z. Wang C. Qian: Oscillation of neutral delay differential equations. Bull. Austral. Math. Soc. 45 (1992), 195-200. | DOI | MR

Cité par Sources :