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Initial value problems for functional-differential equations with infinite delay in Banach spaces - MaRDI portal

Initial value problems for functional-differential equations with infinite delay in Banach spaces (Q2764442)

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scientific article; zbMATH DE number 1690425
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Initial value problems for functional-differential equations with infinite delay in Banach spaces
scientific article; zbMATH DE number 1690425

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    4 September 2002
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    partially ordered Banach space
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    initial value problem
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    functional-differential equation
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    monotonicity techniques
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    Initial value problems for functional-differential equations with infinite delay in Banach spaces (English)
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    By using monotonicity techniques, the authors prove an existence result on functional-differential equations of the form \(u'(t)=f(t,u(t),u_t)\), \(u_{\sigma}(t)=\varphi(t)\), \(\sigma\leq t\leq a\), in a partially ordered Banach space.
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