Naslov
Fite-Wintner-Leighton type oscillation criteria for second-order differential equations with nonlinear damping

Autori
Pašić, Mervan

Izvornik
Abstract and applied analysis (1085-3375) (2013); 852180-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
oscillation; nonlinear; damping; Fite; Wintner; Leighton; Riccati

Sažetak
Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient condition (of Fite-Wintner-Leighton type). It is different compared to many early published papers which use rather complex sufficient conditions. Our method contains three items: classic Riccati transformations, a pointwise comparison principle and a blow-up principle for sub- and supersolutions of a class of the generalized Riccati differential equations associated to any nonoscillatory solution of the main equation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti

POVEZANOST RADA