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