Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 243-248.

• Articles • Previous Articles    

EXISTENCE OF BOUNDARY VALUE PROBLEMS FOR TFD EQUATION IN QUANTUM MECHANICS

Wang Guocan1, Ding Peizhu2, Zheng Chengde1   

  1. 1. Department of Art and Science, Dalian Railway Institute, Dalian 116028, P. R. China;
    2. Department of Physics, Jilin University, Changchun 130023, P. R. China
  • Received:1997-06-20 Revised:1999-05-15 Online:2000-02-18 Published:2000-02-18

Abstract: TFD (Thomas-Fermi-Dirac) equation in quantum mechanics is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.

Key words: TFD equation, singular boundary value problem, existence, upper and lower solution

2010 MSC Number: 

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