The existence and application of unbounded connected components (Q1714758)
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scientific article; zbMATH DE number 7010751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence and application of unbounded connected components |
scientific article; zbMATH DE number 7010751 |
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The existence and application of unbounded connected components (English)
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1 February 2019
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Summary: Let \(X\) be a Banach space and \(C_n\) a family of connected subsets of \(R\times X\). We prove the existence of unbounded components in superior limit of \(\{ C_n \}\), denoted by \(\overline\lim C_n\), which have prescribed shapes. As applications, we investigate the global behavior of the set of positive periodic solutions to nonlinear first-order differential equations with delay, which can be used for modeling physiological processes.
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