Geodesic
On the stability analysis of Darboux problem on both bounded and unbounded domains
Applications of Mathematics, Tome 69 (2024) no. 1, pp. 139-150

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.
DOI : 10.21136/AM.2023.0200-22
Classification : 34A12, 35L70, 47H10
Keywords: Darboux problem; partial differential equation; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Wendorff lemma 
@article{10_21136_AM_2023_0200_22,
     author = {\c{C}elik, Canan and Develi, Faruk},
     title = {On the stability analysis of {Darboux} problem on both bounded and unbounded domains},
     journal = {Applications of Mathematics},
     pages = {139--150},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2024},
     doi = {10.21136/AM.2023.0200-22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0200-22/}
}
TY  - JOUR
AU  - Çelik, Canan
AU  - Develi, Faruk
TI  - On the stability analysis of Darboux problem on both bounded and unbounded domains
JO  - Applications of Mathematics
PY  - 2024
SP  - 139
EP  - 150
VL  - 69
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0200-22/
DO  - 10.21136/AM.2023.0200-22
LA  - en
ID  - 10_21136_AM_2023_0200_22
ER  - 
%0 Journal Article
%A Çelik, Canan
%A Develi, Faruk
%T On the stability analysis of Darboux problem on both bounded and unbounded domains
%J Applications of Mathematics
%D 2024
%P 139-150
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0200-22/
%R 10.21136/AM.2023.0200-22
%G en
%F 10_21136_AM_2023_0200_22
Çelik, Canan; Develi, Faruk. On the stability analysis of Darboux problem on both bounded and unbounded domains. Applications of Mathematics, Tome 69 (2024) no. 1, pp. 139-150. doi: 10.21136/AM.2023.0200-22

Cité par Sources :