scholarly journals EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS

2018 ◽  
Vol 22 (3) ◽  
Author(s):  
KHELIFA DAOUDI ◽  
JOHNNY HENDERSON ◽  
ABDELGHNAI OUAHAB
2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Jianjie Wang ◽  
Ali Mai ◽  
Hong Wang

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.


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