Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type
Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 359-368

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For a non-linear eigenvalue problem similar to a linear Sturm–Liouville problem the properties of the spectrum and the eigenfunctions are analysed. The system of eigenfunctions is shown to be a Riesz basis in $L_2$.
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     author = {P. E. Zhidkov},
     title = {Riesz basis property of the~system of eigenfunctions for a~non-linear problem of {Sturm--Liouville} type},
     journal = {Sbornik. Mathematics},
     pages = {359--368},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_3_a3/}
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P. E. Zhidkov. Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type. Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 359-368. http://geodesic.mathdoc.fr/item/SM_2000_191_3_a3/