\(L_ p\)-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space (Q1176581)
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scientific article; zbMATH DE number 12205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_ p\)-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space |
scientific article; zbMATH DE number 12205 |
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\(L_ p\)-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space (English)
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25 June 1992
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The notion of \(L_ p\)-equivalence of equations with impulse effect is introduced. Such equivalence of the weakly nonlinear impulsive system and the corresponding linear one is proved under sufficiently strong assumptions.
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exponential dichotomy
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\(L_ p\)-equivalence
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impulse effect
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weakly nonlinear impulsive system
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