Abstract
Oscillation of a second order half-linear difference equation and the discrete Hardy inequality
Highlights
During the last several decades the oscillation properties of the half-linear difference equation have been intensively investigated
There is a lot of works devoted to this problem
We study oscillation properties of the equation (1.1) that follow from Theorem 2.1, Lemmas 1.1 and 1.2
Summary
During the last several decades the oscillation properties of the half-linear difference equation have been intensively investigated. The equation (1.1) is disconjugate on the interval [m, n1] and by Lemma A the inequality (1.3) is valid for all y ∈ Y (m, n1) ⊂ Y (m, ∞). We study oscillation properties of the equation (1.1) that follow from Theorem 2.1, Lemmas 1.1 and 1.2.
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