Completeness of Eigenfunctions of Sturm-Liouville Problems with Transmission Conditions
Wang, Aiping ; Sun, Jiong ; Hao, Xiaoling ; Yao, Siqin
Methods Appl. Anal., Tome 16 (2009) no. 1, p. 299-312 / Harvested from Project Euclid
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In this paper, we investigate a class of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and transmission conditions at an interior point. A self-adjoint linear operator $A$ is defined in a suitable Hilbert space $H $such that the eigenvalues of such a problem coincide with those of $A$. We show that the operator $A$ has only point spectrum, the eigenvalues of the problem are algebraically simple, and the eigenfunctions of $A$ are complete in $H$.
Publié le : 2009-09-15
Classification:  Eigenparameter-dependent boundary conditions,  transmission conditions,  eigenvalues,  eigenfunctions,  completeness,  34L10,  47E05 
@article{1273002794,
     author = {Wang, Aiping and Sun, Jiong and Hao, Xiaoling and Yao, Siqin},
     title = {Completeness of Eigenfunctions of Sturm-Liouville Problems with Transmission Conditions},
     journal = {Methods Appl. Anal.},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 299-312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273002794}
}

Wang, Aiping; Sun, Jiong; Hao, Xiaoling; Yao, Siqin. Completeness of Eigenfunctions of Sturm-Liouville Problems with Transmission Conditions. Methods Appl. Anal., Tome 16 (2009) no. 1, pp.  299-312. http://gdmltest.u-ga.fr/item/1273002794/