Solvability of the product of n-integral equations in Orlicz spaces

被引:3
作者
Metwali, Mohamed M. A. [1 ]
Cichon, Kinga [2 ]
机构
[1] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt
[2] Poznan Univ Tech, Inst Math, Fac Automat Control Robot & Elect Engn, Poznan, Poland
关键词
Orlicz spaces; Product of n-integral equations; Measure of noncompactness; Darbo fixed point theorems;
D O I
10.1007/s12215-023-00916-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the existence of a.e. monotonic L?-solutions for the product of n-quadratic integral equations. As indicated by the different continuity properties of the considered operators in Orlicz spaces, we study three different cases in which the generating N-functions satisfy the conditions A', A(2), and A(3). The method adopted in this paper consists of an appropriate application of some measure of noncompactness and the Darbo fixed point theorem for solving operators acting on the product of n-Orlicz spaces.
引用
收藏
页码:171 / 187
页数:17
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