The singular integral equations with Cauchy kernels have studied in L_p(Γ),p>1,in detail.Here Γ stands for the set of a finite number of closed Liapunoff's curves which have no common points and T denotes the...The singular integral equations with Cauchy kernels have studied in L_p(Γ),p>1,in detail.Here Γ stands for the set of a finite number of closed Liapunoff's curves which have no common points and T denotes the completely continuous operator in the space sunder consideration. In this paper, we consider the equations mentioned above in Orlicz spaces L_M(Γ). It is proved that the Nether theorem and the index formula are hold true in the case of reflexive Orlicz spaces.展开更多
In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig,...In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.展开更多
文摘The singular integral equations with Cauchy kernels have studied in L_p(Γ),p>1,in detail.Here Γ stands for the set of a finite number of closed Liapunoff's curves which have no common points and T denotes the completely continuous operator in the space sunder consideration. In this paper, we consider the equations mentioned above in Orlicz spaces L_M(Γ). It is proved that the Nether theorem and the index formula are hold true in the case of reflexive Orlicz spaces.
基金Project supported by the Science Foundation of the Chinese Academy of Science
文摘In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.
