@ARTICLE{À venir, 

TITLE={[FORTHCOMING] Problème de stabilité presque partout pour les équations fonctionnelles cubiques multidimensionnelles }, 
  
AUTHOR={Abasalt Bodaghi, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={}, 

NUMBER={Articles à paraître<br>}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Probleme-de-stabilite-presque-partout-pour-les-equations-fonctionnelles}, 
	
DOI={À venir}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={This work aims to present a novel fashion of the multi-dimensional cubic functional equations and to investigate its Hyers-Ulam stability in the setting of Banach spaces on the restricted domains under a condition as (C). Moreover, a subset $$$\Omega\subset\mathbb R^d$$$ of Lebesgue measure zero satisfying the mentioned condition is constructed. Lastly, applying this construction and by means of the Baire category theorem, an asymptotic behavior for an approximate solution of the d-dimension cubic functional equations on real numbers, is presented.}}