Second order linear difference equations over discrete Hardy fields
Kybernetika, Tome 34 (1998) no. 2, pp. 181-187

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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
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/
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     volume = {34},
     number = {2},
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     zbl = {1274.39012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_2_a4/}
}
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[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