Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
Vladimirov, A. A. · Sheipak, I. A.
Original · EN
The spectral problem for the high order differential operator with singular weight is considered. If the weight is a generalized derivative of self-similar function with zero spectral degree the asymptotics of eigenvalues is obtained. They are proved to have exponential growth and depend on the order of differential operator and self-similarity parameters.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.