Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers

Figure 1

Equation (1.4). (a) 𝑟=−1/3. Initial values 𝑦₀=8,𝑦₁=8, 𝑦₂=8(𝑡=8). (b) 𝑟=1/5. Initial values 𝑦₀=7, 𝑦₁=7, 𝑦₂=21(𝑡=7).

(a)

(b)