Critical oscillation constant for half-linear differential equations with periodic coefficients

• Authors: DOŠLÝ Ondřej; HASIL Petr
• Year of publication: 2011
• Type: Article in Periodical
• Magazine / Source: Annal. Mat. Pura Appl.
• MU Faculty or unit: Faculty of Science
• Field: General mathematics
• Keywords: Half-linear differential equation; Euler equation; Riemann-Weber equation; Prufer transformation; critical oscillation constant
• Description: We compute explicitly the oscillation constant for certain half-linear second order differential equations involving periodic coefficients. If these periodic functions are constants, our results reduce to the well-known oscillation constants for half-linear Euler and Riemann-Weber differential equations.

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