Direct and Inverse Sturm-Liouville Problems (eBook, PDF)

Direct and Inverse Sturm-Liouville Problems (eBook, PDF)

A Method of Solution

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This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special fea...

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