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Riccati technique and oscillation constant for modified Euler type half-linear equations

Authors: Petr Hasil; Jaroslav Jaros; Michal Vesely;

Riccati technique and oscillation constant for modified Euler type half-linear equations

Abstract

Studovany jsou pololinearni diferencialni rovnice se skalarnim libovolně daným p-laplasianem. Je znamo, že tyto rovnice jsou podminěně oscilatoricke pro jiste koeficienty. Podminěna oscilace pro jiste nekonstatni koeficienty byla dokazana pomoci Pruferova uhlu. Pomoci nove modifikace Riccatiho metody (tj. pomoci rozdilneho přistupu) jsou identifikovany snadno aplikovatelne podminky na koeficienty, ktere take zarucuji podminěně oscilatoricke chovani. Ziskane výsledky pokrývaji rovnice, jejichž oscilacni vlastnosti nebyly znamy a tyto výsledky jsou nove dokonce i pro linearni rovnice (tj. pro p = 2).

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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
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