Existence of oscillatory solutions for fourth order superlinear ordinary differential equations (Q791016)
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scientific article; zbMATH DE number 3849643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of oscillatory solutions for fourth order superlinear ordinary differential equations |
scientific article; zbMATH DE number 3849643 |
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Existence of oscillatory solutions for fourth order superlinear ordinary differential equations (English)
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1983
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The superlinear differential equation \(y^{(4)}=p(t)| y|^{\alpha}sgn y\) is considered, where \(\alpha>1\) is a constant and p(t) is a positive continuous function on \((t_ 0,\infty)\). Nonoscillation theorems are proved, and conditions are given implying the existence of oscillatory solutions.
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oscillatory solution
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superlinear differential equation
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nonoscillation theorems
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