Author:
Zhang Hai-yan, ,Ao Ji-jun,Bo Fang-zhen,
Abstract
<abstract><p>This paper aims to investigate the fourth-order boundary value problems with distributional potentials. We first prove that the operators associated with the problems are self-adjoint and the corresponding eigenvalues are real. Then we obtain that the eigenvalues of the problems depend not only continuously but also smoothly on the parameters of the problems: the boundary conditions, the coefficient functions and the endpoints. Moreover, we find the differential expressions for each parameter.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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