Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 13, pp. 1-11.

Title:  Solvability for second-order m-point boundary value problems
        at resonance on the half-line
   
Authors:  Yang Liu (Hefei Teachers College, China)
          Dong Li  (Jiamusi Univ., China)
	  Ming Fang (Yanbian Univ., Yanji, China)

Abstract:
 In this article, we investigate the  existence of positive
 solutions for second-order m-point boundary-value problems
 at resonance on the half-line
 $$\displaylines{
 (q(t)x'(t))'=f(t,x(t),x'(t)),\quad \hbox{a.e. in }(0,\infty), \cr
 x(0)=\sum_{i=1}^{m-2}\alpha_ix(\xi_i),\quad
 \lim_{t\to \infty}q(t)x'(t)=0.
 }$$
 Some existence results are obtained by using the Mawhin's
 coincidence theory. 
 
Submitted July 8, 2008. Published January 12, 2009.
Math Subject Classifications: 34B15.
Key Words:  m-point boundary value problem; resonance; half-line; 
            coincidence degree theory.