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