Averaging technique and oscillation criterion for linear and half-linear equations

DOI10.1016/j.aml.2019.01.013zbMath1415.34063OpenAlexW2910821095WikidataQ128563996 ScholiaQ128563996MaRDI QIDQ1739405

Petr Hasil, Michal Veselý, Jiřina Šišoláková

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.013

zbMATH Keywords

linear differential equationsaveraging techniquePrüfer anglehalf-linear equationsoscillation criterion

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Averaging method for ordinary differential equations (34C29) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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Cites Work

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• Generalized Prüfer angle and oscillation of half-linear differential equations
• Critical oscillation constant for half-linear differential equations with periodic coefficients
• Effective Prüfer angles and relative oscillation criteria
• Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values
• Oscillation of half-linear differential equations with asymptotically almost periodic coefficients
• Conditional oscillation of half-linear differential equations with coefficients having mean values
• Oscillation and non-oscillation of Euler type half-linear differential equations
• On oscillatory solutions of quasilinear differential equations
• Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrödinger operators in the plane
• Perturbative Oscillation Criteria and Hardy-Type Ineqalities
• Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients