Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System

Gongming Wei; Jing Dong

doi:10.4208/jpde.v28.n2.1

Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System

Journal of Partial Differential Equations ◽

10.4208/jpde.v28.n2.1 ◽

2015 ◽

Vol 28 (2) ◽

pp. 95-119 ◽

Cited By ~ 1

Author(s):

Gongming Wei ◽

Jing Dong

Keyword(s):

Boundary Value Problem ◽

Existence And Uniqueness ◽

Smooth Solution ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem ◽

Global Smooth Solution ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

Download Full-text

On a smooth solution of a nonlinear periodic boundary-value problem

Ukrainian Mathematical Journal ◽

10.1007/bf02525264 ◽

1999 ◽

Vol 51 (11) ◽

pp. 1779-1781

Author(s):

I. V. Dombrovskii

Keyword(s):

Boundary Value Problem ◽

Smooth Solution ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem

Download Full-text

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.07.003 ◽

2008 ◽

Vol 204 (1) ◽

pp. 468-477 ◽

Cited By ~ 56

Author(s):

Boling Guo ◽

Yongqian Han ◽

Jie Xin

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problem ◽

Nonlinear Schrödinger Equation ◽

Smooth Solution ◽

Schrodinger Equation ◽

Boundary Value ◽

Nonlinear Schrodinger Equation ◽

Global Smooth Solution ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

Download Full-text

The Unified Transform Method to Initial-Boundary Value Problem for a Coupled Cubic–Quintic Nonlinear Schrödinger System

Complex Analysis and Operator Theory ◽

10.1007/s11785-018-0847-9 ◽

2018 ◽

Vol 13 (3) ◽

pp. 1143-1159 ◽

Cited By ~ 1

Author(s):

Beibei Hu ◽

Tiecheng Xia ◽

Ning Zhang

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Transform Method ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Unified Transform Method ◽

Initial Boundary Value ◽

Schrödinger System

Download Full-text

A periodic boundary-value problem for a class of differential-operator equations

Ukrainian Mathematical Journal ◽

10.1007/bf01057223 ◽

1988 ◽

Vol 39 (3) ◽

pp. 228-232 ◽

Cited By ~ 1

Author(s):

G. D. Zavalykut ◽

O. D. Nurzhanov

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem ◽

Operator Equations

Download Full-text

Periodic boundary value problem for second-order differential equations from geophysical fluid flows

Monatshefte für Mathematik ◽

10.1007/s00605-021-01539-3 ◽

2021 ◽

Author(s):

JinRong Wang ◽

Wenlin Zhang ◽

Michal Fečkan

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Fluid Flows ◽

Second Order ◽

Periodic Boundary Value Problem ◽

Second Order Differential Equations

Download Full-text

On a periodic boundary value problem with only two simple eigenvalues

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90085-8 ◽

1981 ◽

Vol 80 (1) ◽

pp. 1-6 ◽

Cited By ~ 3

Author(s):

Wallace Goldberg ◽

Harry Hochstadt

Keyword(s):

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem

Download Full-text

Solvability of a periodic boundary value problem for a second ordinary differential equation

2011 International Conference on Multimedia Technology ◽

10.1109/icmt.2011.6002392 ◽

2011 ◽

Author(s):

Chunchen Wu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem

Download Full-text

New results for the periodic boundary value problem for impulsive integro-differential equations

Nonlinear Analysis ◽

10.1016/j.na.2008.03.004 ◽

2009 ◽

Vol 70 (6) ◽

pp. 2248-2260 ◽

Cited By ~ 57

Author(s):

Zhiguo Luo ◽

Juan J. Nieto

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem

Download Full-text

APPROXIMATE METHODS OF THE SOLUTION FOR PERIODIC BOUNDARY VALUE PROBLEM FOR FIRST ORDER DIFFERENTIAL EQUATION WITH PARAMETER IN DERIVATIVE

Scientific and Technical Volga region Bulletin ◽

10.24153/2079-5920-2017-7-3-12-15 ◽

2017 ◽

Vol 7 (3) ◽

pp. 12-15

Author(s):

V.V. Abramova ◽

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Order Differential Equation ◽

Boundary Value ◽

Periodic Boundary Value Problem ◽

Approximate Methods ◽

First Order

Download Full-text

General Periodic Boundary Value Problem for Systems

Applied Mathematics ◽

10.4236/am.2012.38130 ◽

2012 ◽

Vol 03 (08) ◽

pp. 882-887

Author(s):

Mohammed Elnagi

Keyword(s):

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problem

Download Full-text