Abstract :
We consider the system of boundary value problems
u ini. t. qfi t,u1 t.,u2 t., . . . ,um t..s0, tgw0, 1x
u ij. 0. s0su ipi. 1., 0FjFniy2
is1, 2, . . . , m,
where niG2, 1FpiFniy1, 1FiFm. Several criteria are offered for the
existence of single and twin solutions of the system that are of fixed signs