Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathem...Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].展开更多
This note deals with the blow up set for a non-cooperative noallnear parabolic differential system and generalizes the theorem 3. 2 and 3. 5 of reference [1]. That is, it is proved that the blow up set consists of a s...This note deals with the blow up set for a non-cooperative noallnear parabolic differential system and generalizes the theorem 3. 2 and 3. 5 of reference [1]. That is, it is proved that the blow up set consists of a single point x=0 without the restriction p】q.展开更多
1 Introduction We want to investigate the following boundary value problem:where m】1, n】1, p≥1 and m】p. As for a, the following properties will be assumed: (A.1) a(r)∈C^1 ([0, ∞)) and a(r)】0 for any r∈(0, ∞);...1 Introduction We want to investigate the following boundary value problem:where m】1, n】1, p≥1 and m】p. As for a, the following properties will be assumed: (A.1) a(r)∈C^1 ([0, ∞)) and a(r)】0 for any r∈(0, ∞); (A.2) there exists α】0 such that (r-α)a(r)≥0 for any r∈[0, ∞). The initial value problem corresponding to (1.1) is the following Cauchy problem:展开更多
The matrix elements of the correlation function between symmetric potential harmonics am simplified into the analytical summations of the grand angular momenta by dy using the recurrence and coupling relations of the ...The matrix elements of the correlation function between symmetric potential harmonics am simplified into the analytical summations of the grand angular momenta by dy using the recurrence and coupling relations of the potential harmonics. 'The correlation-function potential-harmonic and generalized-Laguerre-function method (CFPHGLF), recently developed by us, is applied to the S states of the helium-like systems for Z = 2 to 9. The results exhibit good convergence with the bases in tern of both the angular and radial directions. The final eigen-energies agree excellently with the best s-limits of the variational configuration interaction (CI) method for the involved low-lying S states. The accuracy of the potential harmonic (PH) expansion scheme is discussed relative to the exact Hylleraas CI results (HCI), and Hartree-Fock results. Moreover, suggestion is given for the future improvement of the PH scheme.展开更多
In this paper,a practical strategy for robust control of rigid manipulator is given,which consists of two main design steps.First of all,the nominal control is presented for nominal systems with suitable pole assignme...In this paper,a practical strategy for robust control of rigid manipulator is given,which consists of two main design steps.First of all,the nominal control is presented for nominal systems with suitable pole assignment altogether with linearization technique.Usually,because of gain margin,the feedback law already is of robustness in some sense.The second step is to deal with unexpected and maybe random disturbance,so the feedback law based on the H∞technique is added in order to consider the behavior of the worst case because of environment of robots.A suboptimal radial solution is obtained for nonlinear robust H∞control scheme.The feasibility of the method has to be analyzed with simulations.展开更多
设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界...设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。展开更多
基金Supported by the Dean's Dissertation FellowshipSupported by a NSF grant
文摘Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].
文摘This note deals with the blow up set for a non-cooperative noallnear parabolic differential system and generalizes the theorem 3. 2 and 3. 5 of reference [1]. That is, it is proved that the blow up set consists of a single point x=0 without the restriction p】q.
基金Project supported by the National Natural Science Foundation of China.
文摘1 Introduction We want to investigate the following boundary value problem:where m】1, n】1, p≥1 and m】p. As for a, the following properties will be assumed: (A.1) a(r)∈C^1 ([0, ∞)) and a(r)】0 for any r∈(0, ∞); (A.2) there exists α】0 such that (r-α)a(r)≥0 for any r∈[0, ∞). The initial value problem corresponding to (1.1) is the following Cauchy problem:
基金Project (No. 29703003) supported by the National Natural Science Foundation of China.
文摘The matrix elements of the correlation function between symmetric potential harmonics am simplified into the analytical summations of the grand angular momenta by dy using the recurrence and coupling relations of the potential harmonics. 'The correlation-function potential-harmonic and generalized-Laguerre-function method (CFPHGLF), recently developed by us, is applied to the S states of the helium-like systems for Z = 2 to 9. The results exhibit good convergence with the bases in tern of both the angular and radial directions. The final eigen-energies agree excellently with the best s-limits of the variational configuration interaction (CI) method for the involved low-lying S states. The accuracy of the potential harmonic (PH) expansion scheme is discussed relative to the exact Hylleraas CI results (HCI), and Hartree-Fock results. Moreover, suggestion is given for the future improvement of the PH scheme.
文摘In this paper,a practical strategy for robust control of rigid manipulator is given,which consists of two main design steps.First of all,the nominal control is presented for nominal systems with suitable pole assignment altogether with linearization technique.Usually,because of gain margin,the feedback law already is of robustness in some sense.The second step is to deal with unexpected and maybe random disturbance,so the feedback law based on the H∞technique is added in order to consider the behavior of the worst case because of environment of robots.A suboptimal radial solution is obtained for nonlinear robust H∞control scheme.The feasibility of the method has to be analyzed with simulations.
文摘设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。
