The existence of periodic solutions for coupled pantograph Rayleigh system (Q2809493)
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scientific article; zbMATH DE number 6587288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of periodic solutions for coupled pantograph Rayleigh system |
scientific article; zbMATH DE number 6587288 |
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The existence of periodic solutions for coupled pantograph Rayleigh system (English)
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30 May 2016
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pantograph equation
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Rayleigh system
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periodic solutions
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graph theory
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coincidence degree theory
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The authors consider a coupled pantograph Rayleigh system modeled on a digraph such that in each vertex it is assigned an equation of the form NEWLINE\[NEWLINEx''(t)+f(t,x'(t))+g(t,x(t),x(qt))=e(t).NEWLINE\]NEWLINE In the above equation the functions \(f, g\) and \(e\) are continuous and \(\omega\)-periodic in \(t\).NEWLINENEWLINEThe existence of periodic solutions is considered for such systems.
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