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Keywords:
Fredholm mapping; generalized BVP; dual problem; bounded nonlinearity; Landesman-Lazer conditions
Fredholm mapping; generalized BVP; dual problem; bounded nonlinearity; Landesman-Lazer conditions
Summary:
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.
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