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Fite-Wintner-Leighton type oscillation criteria for second-order differential equations with nonlinear damping (CROSBI ID 191270)

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Pašić, Mervan Fite-Wintner-Leighton type oscillation criteria for second-order differential equations with nonlinear damping // Abstract and applied analysis, (2013), 852180-1-852180-10. doi: 10.1155/2013/852180

Podaci o odgovornosti

Pašić, Mervan

engleski

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

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.

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

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Podaci o izdanju

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2013.

852180-1-852180-10

objavljeno

1085-3375

10.1155/2013/852180

Povezanost rada

Temeljne tehničke znanosti, Matematika

Poveznice
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