数学
收缩原理
非线性系统
积分微分方程
Volterra积分方程
微分方程
积分方程
数学分析
收缩(语法)
巴拿赫空间
应用数学
不动点定理
一阶偏微分方程
医学
物理
量子力学
内科学
作者
Osman Tunç,Cemil Tunç,Gabriela Petruşel,Jen‐Chih Yao
摘要
In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval. The proof of the results on the Ulam stabilities of that classes of the equations are based on the nonlinear alternative related to Banach's contraction principle. The outcomes of this research give new contribution to the theory of Ulam stabilities.
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