Second order linear difference equations over discrete Hardy fields

A. Ramayyan; Ethiraju Thandapani

Kybernetika (1998)

  • Volume: 34, Issue: 2, page [181]-187
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Ramayyan, A., and Thandapani, Ethiraju. "Second order linear difference equations over discrete Hardy fields." Kybernetika 34.2 (1998): [181]-187. <http://eudml.org/doc/33345>.

@article{Ramayyan1998,
abstract = {We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.},
author = {Ramayyan, A., Thandapani, Ethiraju},
journal = {Kybernetika},
keywords = {discrete Hardy field; second order difference equation; discrete Hardy field; second order difference equation},
language = {eng},
number = {2},
pages = {[181]-187},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Second order linear difference equations over discrete Hardy fields},
url = {http://eudml.org/doc/33345},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Ramayyan, A.
AU - Thandapani, Ethiraju
TI - Second order linear difference equations over discrete Hardy fields
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 2
SP - [181]
EP - 187
AB - We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
LA - eng
KW - discrete Hardy field; second order difference equation; discrete Hardy field; second order difference equation
UR - http://eudml.org/doc/33345
ER -

References

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  1. Agarwal R. P., Difference Equations and Inequalities, Marcel Dekker, New York 1992 Zbl0952.39001MR1155840
  2. Boshernitzan M., 10.1007/BF02803397, J. Analyse Math. 41 (1982), 130–167 (1982) Zbl0539.26003MR0687948DOI10.1007/BF02803397
  3. Boshernitzan M., 10.2307/2374277, Amer. J. Math. 106 (1984), 1147–1198 (1984) Zbl0602.26003MR0761583DOI10.2307/2374277
  4. Mickens R. R., Difference Equations, Van Nostrand Reinhold, New York 1990 Zbl0963.39005MR1158461
  5. Ramayyan A., On n th order differential equations over Hardy fields, Kybernetika 30 (1994), 461–470 (1994) Zbl0822.34033MR1303296
  6. Rosenlicht M., Hardy fields, J. Math. Anal. Appl. 93 (1983), 294–311 (1983) Zbl0518.12014MR0700146
  7. Rosenlicht M., 10.1090/S0002-9947-1983-0716843-5, Trans. Amer. Math. Soc. 280 (1983), 659–671 (1983) Zbl0536.12015MR0716843DOI10.1090/S0002-9947-1983-0716843-5
  8. Rosenlicht M., 10.1006/jmaa.1995.1042, J. Math. Anal. Appl. 189 (1995), 640–650 (1995) MR1312544DOI10.1006/jmaa.1995.1042
  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 (1995) MR1367370

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