Asymptotics of eigenvalues in a problem of high even order with discrete self-similar weight
Alexander Vladimirov, Igor Anatolievich Sheipak · St Petersburg Mathematical Journal · 2013
Spectral asymptotics for the boundary problem $(-1)^n y^{(2n)}-\lambda \rho y=0$, $y^{(k)}(0)=y^{(k)}(1)=0$, $0\leq k 1$, and the weight $\rho \in W_2^{-1}[0,1]$ is the generalized derivative of a self-similar function $P\in L_2[0,1]$ of zero spectral order.