
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).
| 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). | 6 | |
| 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. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
