A note on the theorem of Lakshmikantham and Leela (Q1096768)
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scientific article; zbMATH DE number 4032152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the theorem of Lakshmikantham and Leela |
scientific article; zbMATH DE number 4032152 |
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A note on the theorem of Lakshmikantham and Leela (English)
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1987
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The author gives an existence theorem for the solution to the initial value problem \(x'=f(t,x)\), \(x(0)=x_ 0\) in a cone of a Banach space. He uses the measure of noncompactness (Kuratowski's) and a fixed point theorem of Daher. A result of Lakshmikantham and Leela is extended.
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first order differential equation
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existence theorem
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Banach space
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measure of noncompactness
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