Asymptotically Stable Solutions of Infinite Systems of Quadratic Hammerstein Integral Equations

被引：4

作者：

Banas, Jozef ^{[1
]}

Madej, Justyna ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Dept Nonlinear Anal, Al Powstańcow Warszawy 8, PL-35959 Rzeszow, Poland

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 01期

关键词：

space of continuous and bounded functions; MNC; fixed point theorem; IS of IEs; asymptotic stability; NONCOMPACTNESS;

D O I：

10.3390/sym16010107

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present a result on the existence of asymptotically stable solutions of infinite systems (IS) of quadratic Hammerstein integral equations (IEs). Our study will be conducted in the Banach space of functions, which are continuous and bounded on the half-real axis with values in the classical Banach sequence space consisting of real bounded sequences. The main tool used in our investigations is the technique associated with the measures of noncompactness (MNCs) and a fixed point theorem of Darbo type. The applicability of our result is illustrated by a suitable example at the end of the paper.

引用

页数：19

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