... 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 bounded intervals.(F2) f(t, u, λ) = ◦(|ψ(u)|) near infinity, uniformly for t and ... ε)ϕp(vn(ξ))dξ,and we see that {v′n} is uniformly bounded. Therefore, by the Arzela-Ascoli Theorem, {vn}has a uniformly convergent subsequence in C[0, 1]. Without loss of generality, let vn→ ... 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,...