Title

Stability and Approximation of Solutions in New Reproducing Kernel Hilbert Spaces on a Semi-Infinite Domain

Abstract

We introduce new reproducing kernel Hilbert spaces on a trapezoidal semi-infinite domain B∞ in the plane. We establish uniform approximation results in terms of the number of nodes on compact subsets of B∞ for solutions to nonhomogeneous hyperbolic partial differential equations in one of these spaces, (Formula presented.). Furthermore, we demonstrate the stability of such solutions with respect to the driver. Finally, we give an example to illustrate the efficiency and accuracy of our results.

Department(s)

Mathematics and Statistics

Keywords and Phrases

reproducing kernel Hilbert space; stability of solutions; telegraph equation

International Standard Serial Number (ISSN)

0170-4214; 1099-1476

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Wiley, All rights reserved.

Publication Date

01 Jan 2021

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