On the oscillatory behavior of solutions of second order differential equations (Q1320117)
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scientific article; zbMATH DE number 554115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the oscillatory behavior of solutions of second order differential equations |
scientific article; zbMATH DE number 554115 |
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On the oscillatory behavior of solutions of second order differential equations (English)
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1 November 1994
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Oscillation and nonoscillation criteria are proved for classes of fully nonlinear differential equations of second order in a semi-infinite real interval. In particular, sufficient conditions on functions \(f,g,h,j,p,q,r\) are found for all solutions \(y(t)\) of the equation \[ [r(t) f(y) g(y')]' + p(t) h(t,y,y')y' = q(t) j(y) \] to be oscillatory in an interval \((t_ 0, \infty)\).
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oscillation and nonoscillation criteria
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fully nonlinear differential equations of second order
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