A positive operator approach to the Neumann problem for a second order ordinary differential equation

[摘要] In this paper the solvability of the second order Neumann problem u ''(t) + cu'(t) + f(t, u(t)) = 0, u'(0) = A, u'(R) = B. is studied. We suppose that there is a lower solution gamma and an upper solution beta in the reversed order, and we obtain optimal conditions in f to assure the existence of a solution lying between beta and gamma. (C) 1996 Academic Press, Inc.

[发布日期] 1996-12-15