A Dilation Invariance Method and the Stability of Inhomogeneous Wave Equations

Ginkyu Choi and Soon-Mo Jung
Additional contact information
Ginkyu Choi: Department of Electronic and Electrical Engineering, College of Science and Technology, Hongik University, Sejong 30016, Korea
Soon-Mo Jung: Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Korea

Mathematics, 2019, vol. 7, issue 1, 1-17

Abstract: We apply the method of a kind of dilation invariance to prove the generalized Hyers-Ulam stability of the (inhomogeneous) wave equation with a source, u t t ( x , t ) − c 2 ? u ( x , t ) = f ( x , t ) , for a class of real-valued functions with continuous second partial derivatives in each of spatial and the time variables.

Keywords: wave equation; dilation invariance; perturbation; hyperbolic partial differential equation; generalized Hyers-Ulam stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/1/70/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/1/70/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:1:p:70-:d:196444

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().