Regularization of the boundary-value problem for Sturm-Liouville equations with operator-valued coefficients |
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Authors: | V A Kutovoi |
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Institution: | (1) Engineering-Construction Institute, Kiev |
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Abstract: | A regularization method is used to find an approximate solution to the inhomogeneous boundary-value problem –y (t)+Ay(t)= y(t)+h(t), t 0, b], cos CY –sin CY= where A is a self- adjoint unbounded operator on a Hilbert space H; C is an operator on H H; ![phiv](/content/pw417kj27470t760/xxlarge981.gif) H H; h(t) L
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(H, (0, b)); Y , Y are regularizing boundary values of y (t).Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 23–28, 1989. |
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