Direct and Inverse Sturm-Liouville Problems

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Focusing on direct and inverse Sturm-Liouville problems, this book explores recent advancements in both theory and practice across finite and infinite intervals. It introduces a universal method for solving spectral and scattering problems using transmutation operators, detailing their efficient construction. The text derives analytical solutions for Sturm-Liouville equations and integral kernels in functional series form, highlighting unique characteristics that facilitate straightforward numerical solutions for a diverse range of problems.