Geodesic
Non-trivial solutions for two-point boundary-value problems of fourth-order Sturm-Liouville type equations
Electronic journal of differential equations, Tome 2012 (2012)
Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.
Classification : 35J35, 47J10, 58E05
Keywords: fourth-order Sturm-Liouville type problem, multiplicity results, critical point theory 
@article{EJDE_2012__2012__a12,
     author = {Heidarkhani,  Shapour},
     title = {Non-trivial solutions for two-point boundary-value problems of fourth-order {Sturm-Liouville} type equations},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1252.34035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a12/}
}
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%A Heidarkhani,  Shapour
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%J Electronic journal of differential equations
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Heidarkhani,  Shapour. Non-trivial solutions for two-point boundary-value problems of fourth-order Sturm-Liouville type equations. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a12/