Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

• Autorzy: Adil Misir , Banu Mermerkaya
• Języki publikacji: EN

Abstrakty

EN

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α-periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.

Słowa kluczowe

EN

Half-linear differential equation; Euler equation; Riemann-Weber equation; Prüfer transformation; Critical oscillation constant

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 548-561

Daty

wydano

2017-05-04

otrzymano

2016-11-07

zaakceptowano

2017-02-28

online

2017-05-04

Twórcy

autor

Adil Misir

• , , ,

autor

Banu Mermerkaya

• , , ,

Identyfikatory

DOI

10.1515/math-2017-0046