On explicit abstract neutral differential equations with state-dependent delay II (Q6583763)
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scientific article; zbMATH DE number 7892871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On explicit abstract neutral differential equations with state-dependent delay II |
scientific article; zbMATH DE number 7892871 |
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On explicit abstract neutral differential equations with state-dependent delay II (English)
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6 August 2024
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The authors study existence and uniqueness of a solution for abstract neutral equations in Banach spaces and with a state-dependent delay: \N\begin{gather*} \Nu'(t)=Au(t)+F(t,u(\sigma(t,u(t)),u'(\sigma(t,u(t))))),\\\Nu_0=\varphi\in C([-p,0], X). \N\end{gather*} \NThe main results were illustrated by an interesting example.
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neutral equations with state-dependent delay
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existence and uniqueness
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equations in Banach space
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