Improved approach for oscillatory solutions of second order half-linear neutral delay difference equations.

Autor: Chitra, L., Alagesan, K.
Předmět:
Zdroj: AIP Conference Proceedings; 9/8/2022, Vol. 2529 Issue 1, p1-8, 8p
Abstrakt: We establish the oscillatory solutions of a second order half-linear neutral delay difference equations of the form Δ (a n (Δ z n) α) + q n x n − 1 α = 0 for n ≥ n0 > 0, N(n0) = { n0, n0 + 1, ... } n0 is a non negative integer and α is ratio of odd positive integers. Where z n = x n − ρ n x n − m for all n ∈ N(n0), with the condition ∑ s = n 0 ∞ a s − 1 α = ∞. By using the classical Riccati transformation techniques, we present new oscillation criteria of studied equations and examples are provided to illustrate the main results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index