On the stability analysis of Darboux problem on both bounded and unbounded domains

Canan Çelik; Faruk Develi

Applications of Mathematics (2024)

  • Volume: 69, Issue: 1, page 139-150
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Çelik, Canan, and Develi, Faruk. "On the stability analysis of Darboux problem on both bounded and unbounded domains." Applications of Mathematics 69.1 (2024): 139-150. <http://eudml.org/doc/299199>.

@article{Çelik2024,
abstract = {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.},
author = {Çelik, Canan, Develi, Faruk},
journal = {Applications of Mathematics},
keywords = {Darboux problem; partial differential equation; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Wendorff lemma},
language = {eng},
number = {1},
pages = {139-150},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the stability analysis of Darboux problem on both bounded and unbounded domains},
url = {http://eudml.org/doc/299199},
volume = {69},
year = {2024},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 1
SP - 139
EP - 150
AB - 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.
LA - eng
KW - Darboux problem; partial differential equation; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Wendorff lemma
UR - http://eudml.org/doc/299199
ER -

References

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