Geodesic
Solvability for second-order m-point boundary value problems at resonance on the half-line
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a181/}
}
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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__a181/