Abstract
A regularization method is used to find an approximate solution to the inhomogeneous boundary-value problem −y″(t)+Ay(t)=λy(t)+h(t), t ∃[0, b], cos CY′−sin CY=ϕ where A is a self- adjoint unbounded operator on a Hilbert space H; C is an operator on H ⊕ H; ϕ∃ H ⊕ H; h(t) ∃ L 2 (H, (0, b)); Y′, Y are regularizing boundary values of y (t).
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 23–28, 1989.
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Kutovoi, V.A. Regularization of the boundary-value problem for Sturm-Liouville equations with operator-valued coefficients. J Math Sci 67, 3048–3051 (1993). https://doi.org/10.1007/BF01098138
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DOI: https://doi.org/10.1007/BF01098138