Oscillation criteria for second-order nonlinear neutral difference equations of mixed type

• Published in: Advances in difference equations Vol. 2012; no. 1; pp. 1 - 10
• Main Authors: Thandapani, Ethiraju, Kavitha, Nagabhushanam, Pinelas, Sandra
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.01.2012; Springer Nature B.V; BioMed Central Ltd
• Subjects: Analysis; Classification; Criteria; Difference and Functional Equations; Difference equations; Functional Analysis; Integers; Mathematical analysis; Mathematics; Mathematics and Statistics; Nonlinearity; Ordinary Differential Equations; Oscillations; Partial Differential Equations; mixed type; oscillation; comparison theorems; Neutral difference equation

Some oscillation criteria are established for the second order nonlinear neutral difference equations of mixed type. Δ 2 ( x n + a x n - τ 1 ± b x n + τ 2 ) α = q n x n - σ 1 β + p n x x + σ 2 β , n ≥ n 0 where α and β are ratio of odd positive integers with β ≥ 1. Results obtained here generalize s...