Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions


The paper presents a vectorial approach for coupled general nonlinear Schrödinger systems with nonlocal Cauchy conditions. Based on fixed-point principles, the use of matrices with spectral radius less than one, and on basic properties of the Schrödinger solution operator, several existence results are obtained. The essential role of the support of the nonlocal Cauchy condition is emphasized and fully exploited.


Renata Bunoiu
Department of Mathematics, Babeş-Bolyai University, Cluj, Romania.

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


nonlinear Schrödinger equation; nonlocal condition; coupled system; global existence; nonlinear operator; fixed point

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R. Precup, R. Bunoiu, Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions, Appl. Anal. 95 (2016), 731-747,



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