Existence and uniqueness theorems for an implicit delay differential equation (Q5942154)
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scientific article; zbMATH DE number 1637987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness theorems for an implicit delay differential equation |
scientific article; zbMATH DE number 1637987 |
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Existence and uniqueness theorems for an implicit delay differential equation (English)
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2000
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Here, the author deals with the following abstract differential equation \[ \sum_{j=0}^n[A_ju'(t-\omega_j)+B_ju(t-\omega_j)]=f(t), \] where \(A_j\) and \(B_j\) are linear closed operators. The existence and uniqueness are discussed. Applications to partial differential equations with delay are given.
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existence
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uniqueness
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abstract differential equation with delay
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