Fixed Point Techniques and Stability for Neutral Nonlinear Differential Equations with Unbounded Delays

Abstract

Abstract We use the contraction mapping theorem to obtain stability results of the scalar nonlinear neutral differential equation with functional delay 𝑥′(𝑡) = –𝑎𝑥(𝑡) + 𝑏(𝑡)𝑥2(𝑡 – 𝑟(𝑡)) + 𝑐(𝑡)𝑥(𝑡 – 𝑟(𝑡))𝑥′(𝑡 – 𝑟(𝑡)).