Conditional oscillation of Riemann-Weber half-linear differential equations with asymptotically almost periodic coefficients

Petr Hasil; Michal Veselý

doi:10.1556/sscmath.51.2014.3.1283

Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 51: Issue 3

Conditional oscillation of Riemann-Weber half-linear differential equations with asymptotically almost periodic coefficients

Authors:

Petr Hasil

Petr Hasil Masaryk University, Faculty of Science Department of Mathematics and Statistics Kotlářská 2 Brno CZ-611 37 Czech Republic

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Michal Veselý

Michal Veselý Masaryk University, Faculty of Science Department of Mathematics and Statistics Kotlářská 2 Brno CZ-611 37 Czech Republic

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Pages:: 303–321

Online Publication Date:: 26 Aug 2014

Publication Date:: 01 Sep 2014

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.51.2014.3.1283

Keywords:: Primary 34C10; 34C15; Half-linear equations; Riemann-Weber equations; oscillation theory; asymptotic almost periodicity; conditional oscillation; oscillation constant

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We analyse the oscillation and non-oscillation of second-order half-linear differential equations with periodic and asymptotically almost periodic coefficients, where the equations have the so-called Riemann-Weber form. For these equations, we find an explicit oscillation constant. Corollaries and examples are mentioned as well.

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Studia Scientiarum Mathematicarum Hungarica

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