用c类函数求解非线性积分方程组

L. Paunović
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引用次数: 1

摘要

有序度量空间中单调算子的不动点定理被广泛研究,并在微分方程和积分方程中找到了各种应用(Nieto & Rodriguez-Lόpez, 2005), (Nieto & Rodriguez-Lόpez, 2007), (Wu, 2008)。受(Agarwal et al., 2012)和(Luong & Thuan, 2011)工作的启发,我们利用本文给出的结果研究了有序b-度量空间中非线性积分方程系统解的存在性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
RESOLVING SYSTEMS OF NONLINEAR INTEGRAL EQUATIONS VIA C-CLASS FUNCTIONS
Fixed point theorems for monotone operators in ordered metric spaces are widely investigated and have found various applications in differential and integral equations (Nieto & Rodriguez-Lόpez, 2005), (Nieto & Rodriguez-Lόpez, 2007), (Wu, 2008). Motivated by the work in (Agarwal et al., 2012) and (Luong & Thuan, 2011) we study the existence of solutions for a system of nonlinear integral equations in ordered b-metric spaces using the results given in this paper.
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