Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem (Q1305825)
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scientific article; zbMATH DE number 1343143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem |
scientific article; zbMATH DE number 1343143 |
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Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem (English)
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10 April 2000
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The author proves some existence and uniqueness theorems concerning classical solutions to the following nonlocal functional-differential problem \[ u'(t)= f(t,u(t), u(a(t))),\quad t\in I,\quad u(t_0)+ \sum^p_{k= 1} c_ku(t_k)= x_0, \] in a general real Banach space.
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Picard method
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existence
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uniqueness
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solutions
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