Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces

Author

Ali Akgul
David E. Grow, Missouri University of Science and TechnologyFollow

Abstract

We demonstrate the existence of a unique solution to a nonhomogeneous telegraph initial/boundary value problem on the unit square in an appropriate binary reproducing kernel Hilbert space which depends on the smoothness of the driver. Examples are given to illustrate the numerical effectiveness of the reproducing kernel method when properly applied and the aberrations which can occur when no solution exists in the space.

Recommended Citation

A. Akgul and D. E. Grow, "Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces," Differential Equations and Dynamical Systems, vol. 28, pp. 715 - 744, Springer, Jul 2020.

The definitive version is available at https://doi.org/10.1007/s12591-019-00453-3

Department(s)

Mathematics and Statistics

Comments

Published online: 20 February 2019

Keywords and Phrases

Existence of solutions; Reproducing kernel Hilbert space; Telegraph equation

International Standard Serial Number (ISSN)

0971-3514; 0974-6870

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Foundation for Scientific Research and Technological Innovation, All rights reserved.

Publication Date

01 Jul 2020