Geodesic
Higher order boundary value problems at resonance on an unbounded interval
Electronic journal of differential equations, Tome 2016 (2016)
The aim of this paper is the solvability of a class of higher order differential equations with initial conditions and an integral boundary condition on the half line. Using coincidence degree theory by Mawhin and constructing suitable operators, we prove the existence of solutions for the posed resonance boundary value problems.
Classification : 34B40, 34B15
Keywords: boundary value problem at resonance, existence of solution, coincidence degree, integral condition 
@article{EJDE_2016__2016__a38,
     author = {Frioui,  Assia and Guezane-Lakoud,  Assia and Khaldi,  Rabah},
     title = {Higher order boundary value problems at resonance on an unbounded interval},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1329.34061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a38/}
}
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Frioui,  Assia; Guezane-Lakoud,  Assia; Khaldi,  Rabah. Higher order boundary value problems at resonance on an unbounded interval. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a38/