Nonoscillation of higher order half-linear differential equations

• Title in English: Nonoscillation of higher order half-linear differential equationsElectron.
• Authors: DOŠLÝ Ondřej; RŮŽIČKA Vojtěch
• Year of publication: 2015
• Type: Article in Periodical
• Magazine / Source: Electronic Journal of Qualitative Theory of Differential Equations
• MU Faculty or unit: Faculty of Science
• Web: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3623
• Field: General mathematics
• Keywords: Even-order half-linear differential equation; Wirtinger inequality; half-linear Euler equation

Attached files

• p3623.pdf
• reprint.odf
• reprint_kmzerqul.odf

• Description: We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques. Our results extend nonoscillation criteria known for linear higher order differential equations.

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