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Existence and uniqueness of solutions to boundary value problems for second-order differential equations in Banach spaces - MaRDI portal

Existence and uniqueness of solutions to boundary value problems for second-order differential equations in Banach spaces (Q2774277)

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scientific article; zbMATH DE number 1713544
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English
Existence and uniqueness of solutions to boundary value problems for second-order differential equations in Banach spaces
scientific article; zbMATH DE number 1713544

    Statements

    17 November 2002
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    existence
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    uniqueness
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    solutions
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    boundary value problems
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    second-order differential equations
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    Existence and uniqueness of solutions to boundary value problems for second-order differential equations in Banach spaces (English)
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    The existence and uniqueness of solutions to boundary value problems for second-order differential equations in real Banach spaces are discussed. By using a monotone iterative method, the existence and uniqueness result on solutions are obtained, and an error estimate on the iterative sequence of approximate solutions is given.
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