Abstract
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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Research supported by the Grants 201/08/0469 and 201/10/1032 of the Czech Grant Agency of the Czech Republic and the Research Project MSM0022162409 of the Czech Ministry of Education.
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Došlý, O., Hasil, P. Critical oscillation constant for half-linear differential equations with periodic coefficients. Annali di Matematica 190, 395–408 (2011). https://doi.org/10.1007/s10231-010-0155-0
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DOI: https://doi.org/10.1007/s10231-010-0155-0
Keywords
- Half-linear differential equation
- Euler equation
- Riemann–Weber equation
- Prüfer transformation
- Critical oscillation constant