Abstract
Here, we shall classify the difference equation
into four cases according to α is odd or even and δ is 1 or −1. In each case we shall provide comparison theorems for the oscillation of the difference equation. In what follows, we shall assume that p : N(K) → ℝ+ for some K ∈ N, g ∈ G = {g : N(K) → N for some K ∈ N : lim k→∞ g(k) = ∞}, and f : ℝ → ℝ is continuous satisfying (12.2) and non-decreasing.
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© 1997 Springer Science+Business Media Dordrecht
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Agarwal, R.P., Wong, P.J.Y. (1997). Comparison Theorems. In: Advanced Topics in Difference Equations. Mathematics and Its Applications, vol 404. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8899-7_19
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DOI: https://doi.org/10.1007/978-94-015-8899-7_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4839-4
Online ISBN: 978-94-015-8899-7
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