On the theory of differential games of escape
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 371-383
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			The paper consists of three sections. In § 1 a simplified proof is obtained of Pontryagin's escape theorem, differing from his in that in the so-called fine case no integral equation is solved. In § 2, at the expense of restricting the class of controls available to the pursuer, the theory is in a definite sense freed of the constant $\mu$ occurring in Pontryagin's escape theorem. In § 3 a sufficient escape condition is presented for quasilinear games, and examples are also considered.
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      @article{SM_1977_32_3_a6,
     author = {N. Yu. Satimov},
     title = {On the theory of differential games of escape},
     journal = {Sbornik. Mathematics},
     pages = {371--383},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/}
}
                      
                      
                    N. Yu. Satimov. On the theory of differential games of escape. Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 371-383. http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/
