# A non-existence result due to small perturbations in an eigenvalue problem

@inproceedings{Pacsa2021ANR, title={A non-existence result due to small perturbations in an eigenvalue problem}, author={Gelu Pacsa}, year={2021} }

We consider a well-posed eigenvalue problem on (a, 0), depending on a continuous function m. The boundary conditions in the points a, 0 are depending on the eigenvalues. We divide (a, 0) into small intervals and approximate the functionm by a simple (step) functionmS , constant on each small interval. The eigenfunctions corresponding to mS do not exist.

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