New criteria for boundedness and stability of nonlinear neutral delay differential equations by Krasnoselskii's fixed point theorem

2023/12/12 by Yang Li, Li, Yang, Guiling Chen +1
Mathematics · Medicine · #Nonlinear Differential Equations Analysis #Differential Equations and Numerical Methods #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.2312.07187

Abstract

In this paper, we study boundedness, uniform stability and asymptotic stability of a class of nonlinear neutral delay differential equations by using Krasnoselskii's fixed point theorem. The results obtained in this paper extend and improve the work of Jin and Luo(Nonlinear Anal 68:3307-3315,2008), and Benhadri, Mimia(Differ Equ Dyn Syst 29:3-19,2021). An example is given to illustrate the effectiveness of the proposed results.

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