Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

Abstract

Abstract This paper is mainly devoted to the study of one kind of nonlinear Schrödinger differential equations. Under the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point theorem.

Keywords

• Integrable boundary value
• Nonlinear Schrödinger differential equation
• Schrödinger fixed point theorem