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The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order - MaRDI portal

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The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order (Q1986054)

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scientific article; zbMATH DE number 7188074
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English
The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order
scientific article; zbMATH DE number 7188074

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    The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order (English)
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    7 April 2020
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    The authors study the well-posedness of a nonlocal multipoint problem for a second-order evolution equation with respect to a time variable with an operator having a discrete spectrum. A nonlocal condition is considered to be satisfied in a weak sense in the space of formal Fourier series that are identified with continuous linear functionals (generalized elements) on some space connected with the operator.
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    nonlocal multipoint problem
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    spaces of generalized elements
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    operator differential equations
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    Fourier series
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    convolution
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    self-conjugated operators
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