Fite-Wintner-Leighton-Type Oscillation Criteria for Second-Order Differential Equations with Nonlinear Damping
Keyword(s):
Blow Up
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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.
2016 ◽
Vol 4
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pp. 531-539
2013 ◽
Vol 7
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pp. 1239-1255
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1990 ◽
Vol 49
(1)
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pp. 43-54
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1998 ◽
Vol 126
(1)
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pp. 123-125
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