Homoclinic and stable periodic solutions for differential delay equations from physiology (Q1661129)
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scientific article; zbMATH DE number 6919389
| Language | Label | Description | Also known as |
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| English | Homoclinic and stable periodic solutions for differential delay equations from physiology |
scientific article; zbMATH DE number 6919389 |
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Homoclinic and stable periodic solutions for differential delay equations from physiology (English)
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16 August 2018
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A class of scalar nonlinear delay differential equations of MacKey-Glasss type is studied in this paper. A real parameter is involved. The existence of a homoclinic solution for a certain value of the parameter is proved. This allowed to prove the existence of stable periodic solutions for nearby values of the parameters. The author uses a combination of a number of techniques such as monotone semiflows, oscillation properties, a Wazewski-type argument and invariant cone techniques.
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differential delay equation
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homoclinic solution
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stable periodic solution
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global behavior
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MacKey-Glass type equation
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