DOAJ Open Access 2016

Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations

Petr Hasil Michal Veselý

Abstrak

By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations. Taking into account the transformation theory of half-linear equations and using some known results, we show that the analysed equations in the Riemann–Weber form with perturbations in both terms are conditionally oscillatory. Within the process, we identify the critical oscillation values of their coefficients and, consequently, we decide when the considered equations are oscillatory and when they are non-oscillatory. As a direct corollary of our main result, we solve the so-called critical case for a certain type of half-linear non-perturbed equations.

Topik & Kata Kunci

Mathematics

Penulis (2)

Petr Hasil

Michal Veselý

Format Sitasi

APA MLA BibTeX

Hasil, P., Veselý, M. (2016). Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations. https://doi.org/10.14232/ejqtde.2016.1.59

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Informasi Jurnal

Tahun Terbit: 2016
Sumber Database: DOAJ
DOI: 10.14232/ejqtde.2016.1.59
Akses: Open Access ✓