In this paper, we give some theorems on existence of periodic solutions for a class of nonlinear differential equations. A concise expression about the bounds of time-delay is obtained, these theorems include some wel...In this paper, we give some theorems on existence of periodic solutions for a class of nonlinear differential equations. A concise expression about the bounds of time-delay is obtained, these theorems include some well-known results as their special cases.展开更多
In this paper, we deal with Lp(p 】 1) solutions to one dimensional backward stochastic differential equations(BSDEs) with discontinuous(left or right continuous)generators. We obtain an existence theorem of Lpsolutio...In this paper, we deal with Lp(p 】 1) solutions to one dimensional backward stochastic differential equations(BSDEs) with discontinuous(left or right continuous)generators. We obtain an existence theorem of Lpsolutions to BSDEs whose generators are discontinuous, monotonic in y and uniformly continuous in z.展开更多
In this paper, bifurcation of limit cycles for the degenerate equilibrium to a three- dimensional system is investigated. Firstly, we use formal series to calculate the focal values at the high-order critical point on...In this paper, bifurcation of limit cycles for the degenerate equilibrium to a three- dimensional system is investigated. Firstly, we use formal series to calculate the focal values at the high-order critical point on center manifold. Then an example is studied, and the existence of 3 limit cycles on the center manifold is proved. In terms of high- order singularities in high-dimensional systems, our results are new.展开更多
文摘In this paper, we give some theorems on existence of periodic solutions for a class of nonlinear differential equations. A concise expression about the bounds of time-delay is obtained, these theorems include some well-known results as their special cases.
基金partially supported by the NNSF of China(No.11271093)the Science Research Project of Hubei Provincial Department of Education(No.Q20141306)the Cultivation Project of Yangtze University for the NSF of China(No.2013cjp09)
文摘In this paper, we deal with Lp(p 】 1) solutions to one dimensional backward stochastic differential equations(BSDEs) with discontinuous(left or right continuous)generators. We obtain an existence theorem of Lpsolutions to BSDEs whose generators are discontinuous, monotonic in y and uniformly continuous in z.
基金supported by Guangxi Key Laboratory of Trusted Software(Guilin University ofElectronic Technology)the National Natural Science Foundation of China(1126101311371373)
文摘In this paper, bifurcation of limit cycles for the degenerate equilibrium to a three- dimensional system is investigated. Firstly, we use formal series to calculate the focal values at the high-order critical point on center manifold. Then an example is studied, and the existence of 3 limit cycles on the center manifold is proved. In terms of high- order singularities in high-dimensional systems, our results are new.
