A sharp oscillation criterion for a difference equation with constant delay
Abstract It is known that all solutions of the difference equation Δ x ( n ) + p ( n ) x ( n − k ) = 0 , n ≥ 0 , $$\Delta x(n)+p(n)x(n-k)=0, \quad n\geq0, $$ where { p ( n ) } n = 0 ∞ $\{p(n)\}_{n=0}^{\infty}$ is a nonnegative sequence of reals and k is a natural number, oscillate if lim inf n → ∞ ∑...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-03016-x |