The Sturm-Liouville System
John Newman, Vincent Battaglia
Abstract
John Newman, Vincent Battaglia
Abstract
The Sturm-Liouville system comprises a differential equation of the form 11.1 d dx [ p ( x ) dy dx ] + [ λ r ( x ) - q ( x ) ] y = 0 , $$ \frac{d}{{dx}}[p(x)\frac{{dy}}{{dx}}] + [\lambda r(x) - q(x)]y = 0, $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315108858/ba666877-4f6b-4266-9324-138ea83c57cd/content/math11_1.tif"/>
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The Sturm-Liouville system comprises a differential equation of the form 11.1 d dx [ p ( x ) dy dx ] + [ λ r ( x ) - q ( x ) ] y = 0 , $$ \frac{d}{{dx}}[p(x)\frac{{dy}}{{dx}}] + [\lambda r(x) - q(x)]y = 0, $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315108858/ba666877-4f6b-4266-9324-138ea83c57cd/content/math11_1.tif"/>
Key concepts: Sturm–Liouville theory, Mathematics, Mathematical analysis, Boundary value problem