Solutions of constant signs of a system of Sturm-Liouville boundary value problems
We consider the following system u(i)((m)) (t) + f(i)(t, u(1), (t), u(2)(t),...,un(t)) + 0, t epsilon[0,1] u(i)((j)) (0) + 0, 0 less than or equal to j less than or equal to m - 3, alpha(i)u(i)((m - 2)) (0) - beta(i)u(i)((m - 1)) (0) = 0, gamma(i)u(i)((m - 2))(1) + delta(i)u(i)((m - 1)) (1) = 0, i = 1, 2,..., n, where m greater than or equal to 2 and for each 1 less than or equal to i less than or equal to n, beta(i) greater than or equal to 0, delta(i) greater than or equal to 0, beta(i) + alpha(i) > 0, delta(i) + gamma(i) > 0, and alpha(i)gamma(i) + alpha(i)delta(i) + beta(i)gamma(i) > 0. Criteria are offeres for the existence pf single and twin resolutions of the system that are of constant signs. (C) Elsevier Science Ltd. All rights reserved.
solutions of constant signs system of boundary value problems