New reproducing kernel Hilbert spaces on semi-infinite domains with existence and uniqueness results for the nonhomogeneous telegraph equation |
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| Authors: | Jabar S Hassan David Grow |
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| Institution: | 1. Department of Mathematics, Salahaddin University - Erbil, Iraq;2. Department of Mathematics, Missouri University of Science and Technology, Rolla, Missouri, USA |
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| Abstract: | We introduce new reproducing kernel Hilbert spaces on a semi-infinite domain and demonstrate existence and uniqueness of solutions to the nonhomogeneous telegraph equation in these spaces if the driver is square-integrable and sufficiently smooth. |
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| Keywords: | existence and uniqueness reproducing kernel Hilbert spaces telegraph equation |
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