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Regular third-order boundary value problems

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  • Uğurlu, Ekin

Abstract

In this paper, we consider some boundary value problems generated by third-order formally symmetric (self-adjoint) regular differential expression and separated, real-coupled and complex-coupled boundary conditions. It is shown that these problems generate self-adjoint operators. Moreover, the dependence of eigenvalues of these problems on the data are studied and some derivatives of the eigenvalues with respect to some elements of data are introduced.

Suggested Citation

  • Uğurlu, Ekin, 2019. "Regular third-order boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 247-257.
    • Handle: RePEc:eee:apmaco:v:343:y:2019:i:c:p:247-257
    DOI: 10.1016/j.amc.2018.09.046
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