In this paper we present different approaches to the transformation of the second order ordinary differential equation, with respect to adequate boundary conditions, into integral equations. The obtained equations are Fredholm integral equations of the second kind. Next, a numerical method based on quadrature methods has been proposed to get an approximate solution of these equations.
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In the present note we establish multivariate generalizations of the certain variants ofthe well known Hardy's inequality. Our results are obtained by using the well known Fubini's theorem.
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