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.
@article{107725, author = {Boris Rudolf}, title = {On the generalized boundary value problem}, journal = {Archivum Mathematicum}, volume = {036}, year = {2000}, pages = {125-137}, zbl = {1054.34024}, mrnumber = {1761617}, language = {en}, url = {http://dml.mathdoc.fr/item/107725} }
Rudolf, Boris. On the generalized boundary value problem. Archivum Mathematicum, Tome 036 (2000) pp. 125-137. http://gdmltest.u-ga.fr/item/107725/
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