Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

Zuzana Pátíková
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Zuzana Pátíková: Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic

Mathematics, 2021, vol. 9, issue 5, 1-10

Abstract: In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations. Compared equations are seen as perturbations of a given non-oscillatory equation, which allows studying the equations on the borderline of oscillation and non-oscillation. We bring a new comparison theorem and apply it to the so-called generalized Riemann–Weber equation (also referred to as a Euler-type equation).

Keywords: half-linear differential equation; oscillation criteria; modified Riccati technique; Euler-type equation; second-order differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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