Asymptotic methods in the theory of linear kinetic equations
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 131-139
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			For the example of the Fokker–Planck equation with arbitrary coefficients, asymptotic (with respect to the time) solutions of linear kinetic equations are constructed by means of the formalism of Green's functions as well as by the method of quasistationary distribution functions. An expression is obtained for the eigenvalue of minimal absolute magnitude and the corresponding eigenfunction. An algorithm is given for calculating the following eigenvalues. Over a finite interval, the asymptotic solutions found for the Fokker–Planck equation coincide. The method of quasistationary distribution functions is more general than the methods using eigenvalues and eigenfunctions.
			
            
            
            
          
        
      @article{TMF_1981_49_1_a10,
     author = {S. A. Reshetnyak and S. M. Kharchev and L. A. Shelepin},
     title = {Asymptotic methods in the theory of linear kinetic equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {131--139},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a10/}
}
                      
                      
                    TY - JOUR AU - S. A. Reshetnyak AU - S. M. Kharchev AU - L. A. Shelepin TI - Asymptotic methods in the theory of linear kinetic equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1981 SP - 131 EP - 139 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a10/ LA - ru ID - TMF_1981_49_1_a10 ER -
%0 Journal Article %A S. A. Reshetnyak %A S. M. Kharchev %A L. A. Shelepin %T Asymptotic methods in the theory of linear kinetic equations %J Teoretičeskaâ i matematičeskaâ fizika %D 1981 %P 131-139 %V 49 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a10/ %G ru %F TMF_1981_49_1_a10
S. A. Reshetnyak; S. M. Kharchev; L. A. Shelepin. Asymptotic methods in the theory of linear kinetic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 131-139. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a10/