Oscillating and periodic solutions of equations of the type \(\ddot x+f_ 1(x)\dot x+f_ 2(x)\dot x^ 2+g(x)=0\) (Q1260843)
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scientific article; zbMATH DE number 399050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillating and periodic solutions of equations of the type \(\ddot x+f_ 1(x)\dot x+f_ 2(x)\dot x^ 2+g(x)=0\) |
scientific article; zbMATH DE number 399050 |
Statements
Oscillating and periodic solutions of equations of the type \(\ddot x+f_ 1(x)\dot x+f_ 2(x)\dot x^ 2+g(x)=0\) (English)
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5 September 1993
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The paper gives sufficient conditions for any nontrivial solution of the title equations to admit at least one nontrivial periodic solution. A nonusual positive definite function found by author has an essential role in the proofs.
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0.96864945
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0.91160506
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0.9098029
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0.9077077
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0.90255284
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