@ARTICLE{TBA, 

TITLE={[FORTHCOMING] Measure zero stability problem for multi-dimensional cubic functional equations}, 
  
AUTHOR={Abasalt Bodaghi, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={}, 

NUMBER={Forthcoming papers<br>}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Measure-zero-stability-problem-for-multi-dimensional-cubic-functional-equations}, 
	
DOI={TBA}, 
	
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.}}