SOLVABILITY FOR SECOND-ORDER M-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE ON THE HALF-LINE

Yang Liu, Dong Li, Ming Fang
2009 Electronic Journal of Differential Equations   unpublished
In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t)x (t)) = f (t, x(t), x (t)), a.e. in (0, ∞), x(0) = m−2 X i=1 α i x(ξ i), lim t→∞ q(t)x (t) = 0. Some existence results are obtained by using the Mawhin's coincidence theory.
fatcat:hdwjtmipqbfxtbrgqd6cuxx4im