Analysis of the bilateral Laplace transform on time scales with applications (Q2113751)

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scientific article; zbMATH DE number 7488806
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Analysis of the bilateral Laplace transform on time scales with applications
scientific article; zbMATH DE number 7488806

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    Analysis of the bilateral Laplace transform on time scales with applications (English)
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    14 March 2022
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    Summary: The bilateral Laplace transform on time scales is investigated analytically and its absolute convergence, uniform convergence, and inversion integral are proven. Afterwards, a Fourier transform is defined and used to solve partial dynamic equations.
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    time scales calculus
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    bilateral Laplace transform
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    Fourier transform
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    Hilger complex plane
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    Hilger circle
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    exponential order
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    region of convergence
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    first order partial dynamic equation
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    second order partial dynamic equation
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