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On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders

Nguyen Manh Hung1 and Nguyen Thi Lien2*

Author Affiliations

1 National Institute of Education Management, Hanoi, Vietnam

2 Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

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Boundary Value Problems 2013, 2013:156  doi:10.1186/1687-2770-2013-156

Published: 1 July 2013

Abstract

In this paper, we deal with the boundary value problems without initial condition for Schrödinger systems in cylinders. We establish several results on the existence and uniqueness of solutions.

Keywords:
generalized solution; problems without initial condition; cylinders