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math.CA2025
Complete systems of solutions, transmutations and Darboux transform for Sturm-Liouville equations in impedance form
Víctor A. Vicente-Benítez
We present the construction of a complete system of functions associated with the Sturm-Liouville equation in impedance form on a finite interval , given an impedance function $…
math.CA2023
Schrödinger equation with finitely many -interactions: closed form, integral and series representations for solutions
Vladislav V. Kravchenko, Víctor A. Vicente-Benítez
A closed form solution for the one-dimensional Schrödinger equation with a finite number of -interactions \[ \mathbf{L}_{q,\mathfrak{I}_{N}}y:=-y^{\prime\prime}+\left( q(x)+\sum…