On the spectra of boundary value problems generated by some 1D embedding theorems
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 46, Tome 459 (2017), pp. 58-65

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We consider the spectra of boundary value problems related to 1D higher order embedding theorems. For some orders, we prove that the eigenvalues corresponding to even eigenfunctions of different problems cannot coincide.
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     author = {A. N. Minarsky and A. I. Nazarov},
     title = {On the spectra of boundary value problems generated by some {1D} embedding theorems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {58--65},
     publisher = {mathdoc},
     volume = {459},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_459_a3/}
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A. N. Minarsky; A. I. Nazarov. On the spectra of boundary value problems generated by some 1D embedding theorems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 46, Tome 459 (2017), pp. 58-65. http://geodesic.mathdoc.fr/item/ZNSL_2017_459_a3/