Asymptotics and existence of bounded solutions of a nonlinear Schrödinger equation on the half-line

被引：0

作者：

E. M. Mukhamadiev

A. N. Naimov

机构：

[1] Vologda State Technical University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Differential Equation; Wave Function; Ordinary Differential Equation; Cauchy Problem; Bounded Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the asymptotics and existence of nonzero bounded solutions of the Schrödinger equation on the half-line with potential that implicitly depends on the wave function via a nonlinear second-order ordinary differential equation. We prove the existence of countably many nonzero bounded solutions on the half-line and derive asymptotic formulas at infinity for these solutions.

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