Geodesic
Solvability for second-order m-point boundary value problems at resonance on the half-line
Electronic journal of differential equations, Tome 2009 (2009)
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.
Classification : 34B15
Keywords: m-point boundary value problem, resonance, half-line, coincidence degree theory 
@article{EJDE_2009__2009__a81,
     author = {Liu,  Yang and Li,  Dong and Fang,  Ming},
     title = {Solvability for second-order m-point boundary value problems at resonance on the half-line},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1171.34009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a81/}
}
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%A Fang,  Ming
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Liu,  Yang; Li,  Dong; Fang,  Ming. Solvability for second-order m-point boundary value problems at resonance on the half-line. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a81/