A class of nonlocal nonlinear boundary value problems with definite ...

and
We note that
cn 2 (z, k) =1− sn 2 (z,k).
E(0) = K(0) = π
1
, E(1) = 1, K(k) ∼
2 2 log
µ
16
1 − k2
as k → 1.
Ikeda-Kondo-Okamoto-Yotsutani [3] have parameterized all solutions (A, U)
of (O) in terms of the elliptic functions, and clarified the global bifurcation
structure by the following Theorems 1 and 2.
Theorem 1 All the solution (A, U) of (O) are parameterized by
where
{(n 2 A(k),n 2 U(nx − x0; A(k)) : 0