... <10fs, 1 − sds<∞. 3.25Proof. The proof is similar to that of Theorem 3.1; we omit the details.Theorem 3.4. Suppose that H∗ holds, then a necessary and sufficient condition for problem ... ∞.3.3On the other hand, since xt is a pseudo-C30, 1 positive solution of 1.1, we haveft, xt,xt/≡ 0,t∈0, 1. 3.4Otherwise, let ztϕpxt. By the proof of ... Malaguti,Yang, Zhang, and Feng see 6–13,e.g.. For more information about the general theory of integral equations and their relation to boundary value problems, the reader is referred to the book by...