Geodesic
Second order linear difference equations over discrete Hardy fields
Kybernetika, Tome 34 (1998) no. 2, pp. 181-187 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
Classification : 12H10, 39A10
Keywords: discrete Hardy field; second order difference equation 
@article{KYB_1998_34_2_a4,
     author = {Ramayyan, A. and Thandapani, E.},
     title = {Second order linear difference equations over discrete {Hardy} fields},
     journal = {Kybernetika},
     pages = {181--187},
     year = {1998},
     volume = {34},
     number = {2},
     mrnumber = {1621510},
     zbl = {1274.39012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_2_a4/}
}
TY  - JOUR
AU  - Ramayyan, A.
AU  - Thandapani, E.
TI  - Second order linear difference equations over discrete Hardy fields
JO  - Kybernetika
PY  - 1998
SP  - 181
EP  - 187
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KYB_1998_34_2_a4/
LA  - en
ID  - KYB_1998_34_2_a4
ER  - 
%0 Journal Article
%A Ramayyan, A.
%A Thandapani, E.
%T Second order linear difference equations over discrete Hardy fields
%J Kybernetika
%D 1998
%P 181-187
%V 34
%N 2
%U http://geodesic.mathdoc.fr/item/KYB_1998_34_2_a4/
%G en
%F KYB_1998_34_2_a4
Ramayyan, A.; Thandapani, E. Second order linear difference equations over discrete Hardy fields. Kybernetika, Tome 34 (1998) no. 2, pp. 181-187. http://geodesic.mathdoc.fr/item/KYB_1998_34_2_a4/

[1] Agarwal R. P.: Difference Equations and Inequalities. Marcel Dekker, New York 1992 | MR | Zbl

[2] Boshernitzan M.: New orders of infinity. J. Analyse Math. 41 (1982), 130–167 | DOI | MR | Zbl

[3] Boshernitzan M.: Discrete orders of infinity. Amer. J. Math. 106 (1984), 1147–1198 | DOI | MR | Zbl

[4] Mickens R. R.: Difference Equations. Van Nostrand Reinhold, New York 1990 | MR | Zbl

[5] Ramayyan A.: On $n$th order differential equations over Hardy fields. Kybernetika 30 (1994), 461–470 | MR | Zbl

[6] Rosenlicht M.: Hardy fields. J. Math. Anal. Appl. 93 (1983), 294–311 | MR | Zbl

[7] Rosenlicht M.: The rank of a Hardy field. Trans. Amer. Math. Soc. 280 (1983), 659–671 | DOI | MR | Zbl

[8] Rosenlicht M.: Asymptotic solution of $y^{\prime \prime }=F(x)\,y$. J. Math. Anal. Appl. 189 (1995), 640–650 | DOI | MR

[9] Thandapani E., Graef J. R., Spikes P. W.: Monotonicity and summability of solution of a second order nonlinear difference equation. Bull. Inst. Math. Acad. Sinica 23 (1995), 343–356 | MR