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Theory and Modern Applications

Table 1 Table for \(G_{n}\) and \(H_{n}\)

From: Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations

n

\(G_{n}\)

\(H_{n}\)

\(\Vert G_{n}-H_{n} \Vert \)

1.

\(a_{1}=1.11268 \)

\(a_{1}=1.51268 \)

0.4

\(b_{1}=1.38337 \)

\(b_{1}=1.64668 \)

0.534

2.

\(a_{2}=4.48545 \)

\(a_{2}=4.92105 \)

0.4356

\(b_{2}=3.03628 \)

\(b_{2}=3.46195 \)

0.42567

3.

\(a_{3}=10.9602 \)

\(a_{3}=11.5274 \)

0.567234

\(b_{3}=8.3165 \)

\(b_{3}=8.92885 \)

0.61235