The existence of limit cycles of nonlinear oscillation equations (Q910906)
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scientific article; zbMATH DE number 4142493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of limit cycles of nonlinear oscillation equations |
scientific article; zbMATH DE number 4142493 |
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The existence of limit cycles of nonlinear oscillation equations (English)
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1990
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Many mathematicians have done a lot of work on the existence of limit cycles of the Lienard equation \(x''+f(x)x'+g(x)=0,\) and many good results have been obtained. It is worthwhile to generalize these results to more general nonlinear equation \[ (1)\quad x''+f(x)\eta (x')x'+\psi (x')g(x)=0. \] In this paper we use a new method to deal with the existence of limit cycles of the equation (1) and obtain some new results. Our results generalize the well-known theorems of Dragilev and Filippov.
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limit cycles
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Lienard equation
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