Nontrivial application of Nielsen theory to differential systems (Q859513)
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scientific article; zbMATH DE number 5116261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial application of Nielsen theory to differential systems |
scientific article; zbMATH DE number 5116261 |
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Nontrivial application of Nielsen theory to differential systems (English)
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16 January 2007
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Nielsen theory is one of the few fixed point theories dealing with more than one fixed point. It allows us to obtain a lower estimate for the number of fixed points. The nontrivial application of this theory to differential equations is considered to be a difficult task. The main purpose of this paper is to present a nontrivial example of an application of Nielsen's fixed point theory to a planar system of differential inclusion which has at least two periodic solutions.
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Nielsen number
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lower estimate of solutions
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nontrivial example
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three periodic solutions
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no subdomain
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0.9075533
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0.90727466
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0.9062579
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0.8994337
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