Variational and boundary value problems with perturbations

Stanisław Walczak

DOI: http://dx.doi.org/10.12775/TMNA.2001.026

Abstract


In the paper an optimization problem with parameters is considered. Some
sufficient conditions under which the solutions of the problem continuosly
depend on parameters (in the weak or the strong topology of a Banach space)
are proved. Moreover, some applications to the eigenvalue and boundary value
problems for differential operators are given.

Keywords


Optimization problem; stability analysis; eigenvalue problem; boundary value problem

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