Numerical Stability Test of Neutral Delay Differential Equations

Table 1

Numerical calculation of the roots of Δ(𝜆) in (2.14) with 𝜏=0.3,𝑎=0.5.

Branch	Characteristic root	Branch	Characteristic root
−200	−0.2572×10^−9−0.4178×10^4𝑖	1	−0.3631×10^−2+0.1063×10^2𝑖
−100	−0.9644×10^−9−0.2084×10^4𝑖	2	−0.4200×10^−3+0.3147×10^2𝑖
−20	−0.2498×10^−5−0.4084×10^3𝑖	3	−0.1517×10^−3+0.5239×10^2𝑖
−10	−0.1052×10^−4−0.1990×10^3𝑖	4	−0.7747×10^−4+0.7333×10^2𝑖
−5	−0.4688×10^−4−0.9427×10^2𝑖	5	−0.4688×10^−4+0.9427×10^2𝑖
−4	−0.7747×10^−4−0.7333×10^2𝑖	10	−0.1052×10^−4+0.1990×10^3𝑖
−3	−0.1517×10^−3−0.5239×10^2𝑖	20	−0.2498×10^−5+0.4084×10^3𝑖
−2	−0.4200×10^−3−0.3147×10^2𝑖	100	−0.9644×10^−9+0.2084×10^4𝑖
−1	−0.3631×10^−2−0.1063×10^2𝑖	200	−0.2572×10^−9+0.4178×10^4𝑖
0	−0.2410	500	−0.1386×10^−10+0.1046×10^5𝑖