Author(s)

Yolanda Silvia Santiago Ayala

Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, Peru.

In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger type homogeneous model in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a group of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we give some remarks derived from this study.

Groups Theory, Weakly Continuous Operators, Existence of Solution, Generalized Schrödinger Type Equation, Homogeneous Equation, Periodic Distributional Space

Ayala, Y. (2023) Group of Weakly Continuous Operators Associated to a Generalized Schrödinger Type Homogeneous Model. Journal of Applied Mathematics and Physics, 11, 919-932. doi: 10.4236/jamp.2023.114062.