Weighted Hardy inequalities and their applications to oscillation theory of half-linear differential equations

Ryskul Oinarov; Saltanat Rakhimova

Weighted Hardy inequalities and their applications to oscillation theory of half-linear differential equations

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Authors

Ryskul Oinarov
Saltanat Rakhimova

Keywords:

weighted Hardy inequalities, oscillation, nonoscillation, half-linear equations, disconjugate equations, roundabout theorem, variational method

Abstract

For the equation

(ρ(t)|y'(t)|^p-2y'(t))' + v(t)|y(t)|^p-2y(t) = 0, t ∈ (a, b)

where 1 < p < ∞, we establish the properties of oscillation and nonoscillation.

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Published

2024-05-20

How to Cite

Oinarov, R., & Rakhimova, S. (2024). Weighted Hardy inequalities and their applications to oscillation theory of half-linear differential equations. Eurasian Mathematical Journal, 1(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/44