Montgomery, Patrick James2024-08-142024-08-1419931993https://hdl.handle.net/1828/19031Using a contraction mapping, solutions to the truncated steady-state one dimensional Boltzmann Equation in a bounded interval with initial boundary conditions are shown to be unique for small enough interval width. Associated results are the existence and uniqueness of a solution without the restriction of non-­negativity. Also, a companion uniqueness result to the existence of a measure solution for the associated truncated measure boundary value problem is obtained for small enough interval width.48 pagesAvailable to the World Wide WebUN SDG 10: Reduced InequalitiesThesis