Study of the stability in nonlinear neutral differential equations with functional delay using Krasnoselskii-Burton's fixed-point

DOI10.1016/j.amc.2014.05.135zbMath1335.34115OpenAlexW2071659227MaRDI QIDQ279945

Mouataz Billah Mesmouli, Ahcene Djoudi, Abdelouaheb Ardjouni

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.135

zbMATH Keywords

stabilityintegral equationfixed pointdelaynonlinear neutral equationlarge contraction mapping

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (5)

Stability of Nonlinear Neutral Mixed Type Liven-Nohel Integro-Differential Equations ⋮ Asymptotic stability of neutral set-valued functional differential equation by fixed point method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability in nonlinear neutral Levin-Nohel integro-differential equations

Cites Work

• Stability in neutral nonlinear differential equations with functional delays using fixed-point theory
• Fixed points and stability in linear neutral differential equations with variable delays
• Fixed points and stability in differential equations with variable delays
• Theory of functional differential equations. 2nd ed
• Annulus arguments in the stability theory for functional differential equations
• Krasnoselskii's fixed point theorem and stability
• Stability by Krasnoselskii’s theorem in totally nonlinear neutral differential equations
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Fixed points and stability of a nonconvolution equation
• Integral equations, implicit functions, and fixed points
• The existence of periodic solutions for a second order nonlinear neutral differential equation with functional delay
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