... limt→0ϕ(σt)ψ(t)= σp−1, for all σ ∈ R+, for some p > 1.(Φ2) lim|t|→∞ϕ(σt)ψ(t)= σq−1, for all σ ∈ R+, for some q > 1.(F1) f(t, u, λ) = ◦(|ψ(u)|) near zero, uniformly for t and λ in ... +t0−λψ(un(ξ))dξ≤1εnϕ−12λψ(εn)≤ C2, for some C2> 0. Therefore, {v′n} is uniformly bounded. By the Arzela-Ascoli Theorem, {vn}has a uniformly convergent subsequence in C[0, 1] ... limt→0ϕ−1(σt)ψ−1(t)= ϕ−1p(σ), for all σ ∈ R+, for some p > 1, (4)and(ii) lim|t|→∞ϕ−1(σt)ψ−1(t)= ϕ−1q(σ), for all σ ∈ R+, for some q > 1. (5)To compute the degree,...