Solvability of a multi-point boundary value problem at resonance

[摘要] This paper is concerned with the problem of existence of a solution for the multi-point boundary value problem, x(t) = f(t, x(t), x'(t)), 0 < t < 1, x(0) = 0, x(1) = Sigma(i=1)(k) xi(i)x(eta(i)), with Sigma(i=1)(k) xi(i)eta(i) = 1, in the absence of growth conditions on f. The multi-dimensional version of the problem is also considered. (C) 2001 Elsevier Science.

[发布日期] 2001-12-15

[关键词] Mawhin continuation theorem;resonance;multi-point boundary value problem