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Sturm-Liouville Problems

47 Sturm-Liouville Problems Sturm-Liouville Problems are boundary-value Problems that naturally arise when solving cer-tain partial differential equation Problems using a separation of variables method that will bediscussed in a later chapter. It is the theory behind Sturm-Liouville Problems that, ultimately,justifies the separation of variables method for these partial differential equation simplest applications lead to the various Fourier series, and less simple applications lead togeneralizations of Fourier series involving Bessel functions, Hermite polynomials, , there are several difficulties with our studying Sturm-Liouville .

Sturm-Liouville Problems “Sturm-Liouvilleproblems”areboundary-valueproblemsthat naturallyarisewhen solvingcer-tain partial differential equation problems using a “separation of variables” method that will be discussed in a later chapter. It is the theory behind Sturm-Liouville problems that, …

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