Geodesic
On the generalized boundary value problem
Archivum mathematicum, Tome 36 (2000) no. 2, pp. 125-137 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
Classification : 34B05, 34B10, 34B15, 47A53, 47J05, 47N20
Keywords: Fredholm mapping; generalized BVP; dual problem; bounded nonlinearity; Landesman-Lazer conditions 
@article{ARM_2000_36_2_a4,
     author = {Rudolf, Boris},
     title = {On the generalized boundary value problem},
     journal = {Archivum mathematicum},
     pages = {125--137},
     year = {2000},
     volume = {36},
     number = {2},
     mrnumber = {1761617},
     zbl = {1054.34024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_2_a4/}
}
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Rudolf, Boris. On the generalized boundary value problem. Archivum mathematicum, Tome 36 (2000) no. 2, pp. 125-137. http://geodesic.mathdoc.fr/item/ARM_2000_36_2_a4/