2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79777Potentials of the heat conduction operator constructed by means of 2 binary Backlund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.LaTex, 17 pages, no figures, to appear on Inverse ProblemsExactly Solvable and Integrable SystemsOn some nondecaying potentials and related Jost solutions for the heat conduction equationtext