Impulsive differential equations in Banach spaces (Q2785957)
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scientific article; zbMATH DE number 983099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Impulsive differential equations in Banach spaces |
scientific article; zbMATH DE number 983099 |
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27 February 1997
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impulsive differential equations
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Banach spaces
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exponential dichotomy
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bounded solutions
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integral manifolds
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\(L_ p\)-equivalence
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Impulsive differential equations in Banach spaces (English)
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The author studies impulsive differential equations (IDE) in Banach spaces. In the first two chapters he introduces the important concepts of general exponent, exponential dichotomy and dichotomy for linear IDEs. These properties are used to establish the existence of bounded solutions. Chapter 3 is the main part of this thesis. It concerns the existence of integral manifolds for IDEs. In the last chapter,the \(L_p\)-equivalence and asymptotic \(L_p\)-equivalence between IDEs are studied.
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