On the variation of the difference of singular components in the skorokhod problem and on stochastic differential systems in a half-space

References

• Chaleyat Maurel , M. and El Karoui , N. 1978 . Un probleme de reflexion et ses applications au temps local et aux equations differtielles stochastiques sur R-cas continu . Asterisque , 52,53 : 117 – 144 .
   Google Scholar
• Chitashvili , R. J. and Lazrieva , N.L. 1981 . Strong solutions of stochastic differential equations with boundary conditions . Stochastics , 5 : 255 – 309 .
   Google Scholar
• Kinkladze , G. N. 1985 . Some construction methods for strong and weak solutions of boundary problems in multi-dimensional stochastic differential equations (in russian) , Philadelphia : Master's thesis Kiev .
   Google Scholar
• Chaleyat-Maurel , M. , El Karoui , N. and Marchal , B. 1980 . Reflexion discontinue et systemes stochastiques . The Annals of Probability , 8 ( 6 ) : 1049 – 1067 .
   Google Scholar
• Doleans-Dade , C. and Meyer , P.A. 1977 . Equations differentielles stochastiques.Seminaire de Probabilites XI . Lecture Notes in Math , 581 : 376 – 382 .
   Google Scholar