A cell population model described by impulsive PDEs. -- Existence and numerical approximation (Q1125039)
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scientific article; zbMATH DE number 1371549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A cell population model described by impulsive PDEs. -- Existence and numerical approximation |
scientific article; zbMATH DE number 1371549 |
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A cell population model described by impulsive PDEs. -- Existence and numerical approximation (English)
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4 January 2000
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The authors consider a cell population model involving ``impulsive'' partial differential equations -- essentially the McKendrick-Von Foerster model -- and investigate the existence of solutions. By showing that the related operator generates a strongly continuous semigroup the existence of solutions under certain conditions is established. An approximation to the solution of a relatively simple special case is also provided.
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McKendrick-Von Foerster model
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strongly continuous semigroup
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