Geodesic
On the generalized boundary value problem
Archivum mathematicum, Tome 36 (2000) no. 2, pp. 125-137.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {2000},
     mrnumber = {1761617},
     zbl = {1054.34024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000__36_2_a4/}
}
TY  - JOUR
AU  - Rudolf, Boris
TI  - On the generalized boundary value problem
JO  - Archivum mathematicum
PY  - 2000
SP  - 125
EP  - 137
VL  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2000__36_2_a4/
LA  - en
ID  - ARM_2000__36_2_a4
ER  - 
%0 Journal Article
%A Rudolf, Boris
%T On the generalized boundary value problem
%J Archivum mathematicum
%D 2000
%P 125-137
%V 36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2000__36_2_a4/
%G en
%F ARM_2000__36_2_a4
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/