@article{Mili2025, 
author = {Selma Mili and Ammar Boudeliou},
title = {Generalization of some retarded integral inequalities with power in two independent variables and applications},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {4120-4138},
keywords = {boundedness, retarded integral inequality, power, Volterra integral equation},
url = {https://www.sciopen.com/article/10.3934/math.2025191},
doi = {10.3934/math.2025191},
abstract = {In this work, some new kinds of nonlinear power integral inequalities in two-dimensional cases are introduced. With advanced analytical mathematical methods, many estimations are obtained in order to generalize to higher order, well known results in the literature for    p  =  1 and    p  ∈  (  0  ,  1  ]. As an example, we apply these results to determine the boundedness of solutions of nonlinear bidimensional Volterra type integral equations for    p  >  1.}
}