Self-similar functions in L₂[0,1] and Sturm--Liouville Problem with singular indefinite weight
Sheipak, I. A. · Vladimirov, A. A.
Original · EN
In the paper the Sturm-Liouville problem -y''-ρy=0, y(0)=y(1)=0 is studied. ρ is a generalized derivative of function P∈ L₂[0,1]. For self-similar P asymptotic formulas for eigenvalues are obtained.
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