What type of study is this?

September 10, 2025Open Access

Hyers-Ulam stability for Hammerstein integral equations with impulses and delay

Key Points

Hyers-Ulam stability is established for Hammerstein integral equations with impulses and delay.
The results address both finite and infinite intervals, extending previous stability discussions on this topic.
Fixed point techniques were effectively utilized to solve the stability problem in this mathematical context.
A concrete example demonstrates the practical effectiveness of the theoretical results obtained in the analysis.

Abstract

This paper mainly focuses on solving the Hyers-Ulam and Hyers-Ulam-Rassias stability problem of the Hammerstein integral equation with impulses and delay using fixed point technique. The consequent different cases of a finite interval and an infinite interval are studied. Finally, a concrete example is given at the end to justify the efficiency of the obtained theoretical results.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Shah et al. (Wed,) studied this question.

www.synapsesocial.com/papers/68c1c62654b1d3bfb60f1985 — DOI: https://doi.org/10.2298/fil2507417s

Authors

Rahim Shah

H. Abbasi

Journals

Filomat

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Hyers-Ulam stability for Hammerstein integral equations with impulses and delay

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Journals

Actions

References and Citations

Citation Network

Connected Papers

Discussion