Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
classification
🧮 math.SP
keywords
differentialoperatorweightasymptoticseigenvaluesorderself-similarspectral
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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.
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