Let Ω be an abstract space, F(Ω) be the fuzzy subset in Ω, (?) be a fuzzy algebra on Ω,μ be a fuzzy probability on (?), (?) be a Borel σ-algebra on (0,1)Definition 1. If (?)(?)F(Ω) has the
The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe.With the help of...The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe.With the help of convex hull of a potential function,the solution is explicitly constructed here.It is straightforward to prove that the solution is a global measure one.And Dirac delta-shocks explained as the concentration of particles may develop in the solution.展开更多
In the present paper, we have obtained several random fixed-point theorems for random set-valued mapping which generalize S. Itoh’s results. The method used in this paper differs from those used by other authors. Our...In the present paper, we have obtained several random fixed-point theorems for random set-valued mapping which generalize S. Itoh’s results. The method used in this paper differs from those used by other authors. Our main result consists of Theorems 1, 2, 3. Theorem 1 improves Theorem 1 of Itoh. The measurability of展开更多
文摘Let Ω be an abstract space, F(Ω) be the fuzzy subset in Ω, (?) be a fuzzy algebra on Ω,μ be a fuzzy probability on (?), (?) be a Borel σ-algebra on (0,1)Definition 1. If (?)(?)F(Ω) has the
基金Project supported by the Institute of Mathematics, Chinese Academy of Sciences and by the National Fundamental Research Program of State Commission of Science and Technology of China, and Chinese Academy of Sciences.
文摘The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe.With the help of convex hull of a potential function,the solution is explicitly constructed here.It is straightforward to prove that the solution is a global measure one.And Dirac delta-shocks explained as the concentration of particles may develop in the solution.
文摘In the present paper, we have obtained several random fixed-point theorems for random set-valued mapping which generalize S. Itoh’s results. The method used in this paper differs from those used by other authors. Our main result consists of Theorems 1, 2, 3. Theorem 1 improves Theorem 1 of Itoh. The measurability of
