Geodesic
On the existence and the stability of solutions for higher-order semilinear Dirichlet problems
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 647-669.

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We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.
Classification : 34B15, 35J20, 35J40, 35J60, 47N20
Keywords: Dirichlet problem 
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     author = {Galewski, M. and P{\l}\'ocienniczak, M.},
     title = {On the existence and the stability of solutions for higher-order semilinear {Dirichlet} problems},
     journal = {Czechoslovak Mathematical Journal},
     pages = {647--669},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2007},
     mrnumber = {2337620},
     zbl = {1174.35029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007__57_2_a8/}
}
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Galewski, M.; Płócienniczak, M. On the existence and the stability of solutions for higher-order semilinear Dirichlet problems. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 647-669. http://geodesic.mathdoc.fr/item/CMJ_2007__57_2_a8/