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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000332 |
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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |