A Hille-Wintner type comparison theorem for second order difference equations
For the linear difference equation Δ(cn−1Δxn−1)+anxn=0 with cn>0, a non-oscillation comparison theorem given in terms of the coefficients cn and the series ∑n=k∞an, has been proved.
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Format: | Article |
Language: | English |
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Wiley
1983-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171283000332 |
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author | John W. Hooker |
author_facet | John W. Hooker |
author_sort | John W. Hooker |
collection | DOAJ |
description | For the linear difference equation
Δ(cn−1Δxn−1)+anxn=0 with cn>0,
a non-oscillation comparison theorem given in terms of the coefficients cn and the series ∑n=k∞an, has been proved. |
format | Article |
id | doaj-art-dd1dccee103145ae8f61110e9d9973bc |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1983-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-dd1dccee103145ae8f61110e9d9973bc2025-02-03T01:23:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016238739310.1155/S0161171283000332A Hille-Wintner type comparison theorem for second order difference equationsJohn W. Hooker0Department of Mathematics, Southern Illinois University, Carbondale 62901, Illinois, USAFor the linear difference equation Δ(cn−1Δxn−1)+anxn=0 with cn>0, a non-oscillation comparison theorem given in terms of the coefficients cn and the series ∑n=k∞an, has been proved.http://dx.doi.org/10.1155/S0161171283000332difference equationsoscillatory and non-oscillatory solutions comparison theoremsRiccati transformation. |
spellingShingle | John W. Hooker A Hille-Wintner type comparison theorem for second order difference equations International Journal of Mathematics and Mathematical Sciences difference equations oscillatory and non-oscillatory solutions comparison theorems Riccati transformation. |
title | A Hille-Wintner type comparison theorem for second order difference equations |
title_full | A Hille-Wintner type comparison theorem for second order difference equations |
title_fullStr | A Hille-Wintner type comparison theorem for second order difference equations |
title_full_unstemmed | A Hille-Wintner type comparison theorem for second order difference equations |
title_short | A Hille-Wintner type comparison theorem for second order difference equations |
title_sort | hille wintner type comparison theorem for second order difference equations |
topic | difference equations oscillatory and non-oscillatory solutions comparison theorems Riccati transformation. |
url | http://dx.doi.org/10.1155/S0161171283000332 |
work_keys_str_mv | AT johnwhooker ahillewintnertypecomparisontheoremforsecondorderdifferenceequations AT johnwhooker hillewintnertypecomparisontheoremforsecondorderdifferenceequations |