| Autor: |
Sumathi, D. S., Alagesan, K., Govindan, V. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 9/8/2022, Vol. 2529 Issue 1, p1-13, 13p |
| Abstrakt: |
The third order non linear difference equations of the form Δ (c n Δ (d n Δ x n)) + p n Δ x n + 1 + q n f (x n − σ) = 0 for n ≥ n0 are considered. Here {cn}, {dn}, {pn} and {qn} are sequences of positive real numbers for n0 ∈ Nf is a continuous function such that f (u) u ≥ K > 0 for u ≠ 0. By means of a Riccati transformation technique we obtain some new oscillation criteria. Examples are given to illustrate the importance of the results. Where n0 ∈ N is a fixed integer, Δ denotes to forward difference operator Δxn = xn+1xn and σ is a nonnegative integer. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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