On the qualitative behavior of periodic solutions of differential systems (Q843169)
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scientific article; zbMATH DE number 5608852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the qualitative behavior of periodic solutions of differential systems |
scientific article; zbMATH DE number 5608852 |
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On the qualitative behavior of periodic solutions of differential systems (English)
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29 September 2009
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The method of reflecting functions introduced by V. I. Mironenko is applied to study the existence and stability of \(\omega\)-periodic solutions of the differential system \[ x'=X(t,x) \] with \(X(t,x)\) being \(2\omega\)-periodic in \(t\). Recall that the function \(F(t,x)\) is said a reflective function for the considered system, if \(F\) satisfies the partial differential equation \[ F_t + F_x X(t,x)+X(-t,F)=0\,. \]
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periodic solutions
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reflecting functions
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qualitative behaviour.
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