The aim of this paper is to prove the well-posedness（existence and uniqueness） of the L p entropy solution to the homogeneous Dirichlet problems for the anisotropic degenerate parabolic-hyperbolic equations with L p...The aim of this paper is to prove the well-posedness（existence and uniqueness） of the L p entropy solution to the homogeneous Dirichlet problems for the anisotropic degenerate parabolic-hyperbolic equations with L p initial value.We use the device of doubling variables and some technical analysis to prove the uniqueness result.Moreover we can prove that the L p entropy solution can be obtained as the limit of solutions of the corresponding regularized equations of nondegenerate parabolic type.展开更多
This article concerns the construction of approximate solutions for a general stochastic integrodifferential equation which is not explicitly solvable and whose coeffcients functionally depend on Lebesgue integrals an...This article concerns the construction of approximate solutions for a general stochastic integrodifferential equation which is not explicitly solvable and whose coeffcients functionally depend on Lebesgue integrals and stochastic integrals with respect to martingales. The approximate equations are linear ordinary stochastic differential equations, the solutions of which are defined on sub-intervals of an arbitrary partition of the time interval and connected at successive division points. The closeness of the initial and approximate solutions is measured in the L^p-th norm, uniformly on the time interval. The convergence with probability one is also given.展开更多
The existence and uniqueness of the modified Uzawa-Lucas growth model which incorporates unskilled labor as a distinct factor from human capital are given and the dynamics of the model is presented. Furthermore, the v...The existence and uniqueness of the modified Uzawa-Lucas growth model which incorporates unskilled labor as a distinct factor from human capital are given and the dynamics of the model is presented. Furthermore, the varieties of the time allocation to the physical and human capital production along the optimal path and the affections of fertility and the natural growth rate of human capital on economic growth are discussed. Key words U-L model - dynamical system - optimal solution - human capital - unskilled workers CLC number O 29 Foundation item: Supported by the National Natural Science Foundation of China (79970104)Biography: Ma Su-yan(1978-), famale, Master candidate, research direction: mathematical economy.展开更多
基金Yachun Li’s research was supported partly by National Natural Science Foundation of China (10571120,10971135)the Program for New Century Excellent Talents of Chinese Ministry of Education (NCET-07-0546)+3 种基金Shanghai Shuguang Project 06SG11Zhigang Wang’s research was supported partly by Shanghai Jiao Tong University Innovation Fund For Postgraduates (AE071202)the University Young Teacher Sciences Foundation of Anhui Province (2010SQRL145)the Quality Project Found of Fuyang Normal College (2010JPKC07)
文摘The aim of this paper is to prove the well-posedness（existence and uniqueness） of the L p entropy solution to the homogeneous Dirichlet problems for the anisotropic degenerate parabolic-hyperbolic equations with L p initial value.We use the device of doubling variables and some technical analysis to prove the uniqueness result.Moreover we can prove that the L p entropy solution can be obtained as the limit of solutions of the corresponding regularized equations of nondegenerate parabolic type.
文摘This article concerns the construction of approximate solutions for a general stochastic integrodifferential equation which is not explicitly solvable and whose coeffcients functionally depend on Lebesgue integrals and stochastic integrals with respect to martingales. The approximate equations are linear ordinary stochastic differential equations, the solutions of which are defined on sub-intervals of an arbitrary partition of the time interval and connected at successive division points. The closeness of the initial and approximate solutions is measured in the L^p-th norm, uniformly on the time interval. The convergence with probability one is also given.
文摘The existence and uniqueness of the modified Uzawa-Lucas growth model which incorporates unskilled labor as a distinct factor from human capital are given and the dynamics of the model is presented. Furthermore, the varieties of the time allocation to the physical and human capital production along the optimal path and the affections of fertility and the natural growth rate of human capital on economic growth are discussed. Key words U-L model - dynamical system - optimal solution - human capital - unskilled workers CLC number O 29 Foundation item: Supported by the National Natural Science Foundation of China (79970104)Biography: Ma Su-yan(1978-), famale, Master candidate, research direction: mathematical economy.
