Lagrange's Identity (boundary value problem)
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High Quality Content by WIKIPEDIA articles! In the study of ordinary differential equations and their associated boundary value problems, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint linear differential operator. Lagrange's identity is fundamental in Sturm Liouville theory. In more than one independent variable, Lagrange's identity is generalized by Green's second identity.

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High Quality Content by WIKIPEDIA articles! In the study of ordinary differential equations and their associated boundary value problems, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint linear differential operator. Lagrange's identity is fundamental in Sturm Liouville theory. In more than one independent variable, Lagrange's identity is generalized by Green's second identity.