| Abstract: |
| By using series expansion of the Dirac delta function into eigenfunctions of the corresponding Sturm-Liouville problem we construct some new (oscillating) integral transforms. These transforms are then used for solving various problems in finance, physics and mathematics which could be characterized by existence of a multilayer spatial structure and moving (time-dependent) boundaries (internal interfaces) between the layers. Thus constructed solutions are semi-analytical and extend previous work of the authors. |
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