Geodesic
On a class of singular Sturm--Liouville problems
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 80 (2019) no. 2, pp. 247-257

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A formally self-adjoint boundary value problem is under consideration. It corresponds to the formal differential equation $ -(y'/r)'+q{}y=p{}f$, where $ r$ and $ p$ are generalized densities of two Borel measures which do not have common atoms and $ q$ is a generalized function from some class related to the density $ r.$ A self-adjoint operator generated by this boundary value problem is defined. The main term of the spectral asymptotics is established in the case when $ r$ and $ p$ are self-similar and $ q=0.$ 
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     author = {A. A. Vladimirov},
     title = {On a class of singular {Sturm--Liouville} problems},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {247--257},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2019_80_2_a6/}
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A. A. Vladimirov. On a class of singular Sturm--Liouville problems. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 80 (2019) no. 2, pp. 247-257. http://geodesic.mathdoc.fr/item/MMO_2019_80_2_a6/