In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems includ...In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem and so on. Moreover, the conditional compactness of its subsets is also discussed.展开更多
This paper is concerned with the global existence of solutions for abstract retarded functional differential equations （RFDEs） with infinite delay, via a fixed point approach. Some sufficient conditions are establis...This paper is concerned with the global existence of solutions for abstract retarded functional differential equations （RFDEs） with infinite delay, via a fixed point approach. Some sufficient conditions are established under which the existence of a globally mild solution are obtained by using Leray-Schauder.展开更多
基金Supported by Hubei Research Center for Financial Development and Financial Security(2008D029)
文摘In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem and so on. Moreover, the conditional compactness of its subsets is also discussed.
基金NNSF of China (No.10271044)NSF of Anhui Province (070416225,2003kj005zd)+1 种基金Talent Foundation of Anhui Province (05025104)Innovation Group of Anhui University
文摘This paper is concerned with the global existence of solutions for abstract retarded functional differential equations （RFDEs） with infinite delay, via a fixed point approach. Some sufficient conditions are established under which the existence of a globally mild solution are obtained by using Leray-Schauder.
