On the differences and similarities of the first order delay and ordinary differential equations (Q1765793)
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scientific article; zbMATH DE number 2137696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the differences and similarities of the first order delay and ordinary differential equations |
scientific article; zbMATH DE number 2137696 |
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On the differences and similarities of the first order delay and ordinary differential equations (English)
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23 February 2005
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This paper studies differences and similarities of delay differential equations (DDE) and ordinary differential equations (ODE). The aim is to show that neglecting a small time delay may be justifiable in some cases but not in others. Continuous dependence on the time delay parameter, the property of nonnegativity, blow-up of solutions to DDE are studied. In the last section, the case of Banach spaces of type \(L^{p}\) is discussed.
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delay differential equations
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singularity
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continuous dependence
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nonnegativity
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blow-up
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boundedness
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small delay
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0.7769381403923035
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