Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation
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 oscil...
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-03-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/9/5/502 |
Summary: | 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). |
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ISSN: | 2227-7390 |