This paper deals with the boundary value problems for regular function with valuesin a Clifford algebra: （）W=O, x∈R<sup>n</sup>\Г, w<sup>+</sup>（x）=G（x）W<sup>-</sup>（x）+λ...This paper deals with the boundary value problems for regular function with valuesin a Clifford algebra: （）W=O, x∈R<sup>n</sup>\Г, w<sup>+</sup>（x）=G（x）W<sup>-</sup>（x）+λf（x, W<sup>+</sup>（x）, W<sup>-</sup>（x））, x∈Г; W<sup>-</sup>（∞）=0,where Г is a Liapunov surface in R<sup>n</sup> the differential operator （）=（）/（）x<sub>1</sub>+（）/（）x<sub>2</sub>+…+（）/（）x<sub>n</sub>e<sub>n</sub>, W（x） =∑<sub>A</sub>, （）<sub>A</sub>W<sub>A</sub>（x） are unknown functions with values in a Clifford algebra （）<sub>n</sub> Undersome hypotheses, it is proved that the linear baundary value problem （where λf（x, W<sup>+</sup>（x）,W<sup>-</sup>（x）） =g（x）） has a unique solution and the nonlinear boundary value problem has atleast one solution.展开更多
Some necessary and sufficient conditions of the oontinuity of A_x^+ are given in [1] In this paper, some advances on the base and the condition of the oontinuity of A_^+ for Semi-Fredholm operators A_x are presented.
A novel and unusual sterol with unsaturation in the△^(5(14)) position,5α-cholesta-8(14),24(25)-diene-3β,6α-diol 1,was isolated from the South China Ses sponge Dysidea sp.The structure and relative stereochemistry ...A novel and unusual sterol with unsaturation in the△^(5(14)) position,5α-cholesta-8(14),24(25)-diene-3β,6α-diol 1,was isolated from the South China Ses sponge Dysidea sp.The structure and relative stereochemistry of 1 was established by spectral analysis and comparison to the spectral data of known sterols.展开更多
In this paper the authors prove the existence and uniqueness of global classicalsolutions to the typical free boundary problem for general quasilinear hyperbolic systems.As an application,a unique global discontinuous...In this paper the authors prove the existence and uniqueness of global classicalsolutions to the typical free boundary problem for general quasilinear hyperbolic systems.As an application,a unique global discontinuous solution only containing n shocks ont≥0 is obtained for a class of generalized Riemann problem for the quasilinear hyperbolicsystem of n conservation laws.展开更多
文摘This paper deals with the boundary value problems for regular function with valuesin a Clifford algebra: （）W=O, x∈R<sup>n</sup>\Г, w<sup>+</sup>（x）=G（x）W<sup>-</sup>（x）+λf（x, W<sup>+</sup>（x）, W<sup>-</sup>（x））, x∈Г; W<sup>-</sup>（∞）=0,where Г is a Liapunov surface in R<sup>n</sup> the differential operator （）=（）/（）x<sub>1</sub>+（）/（）x<sub>2</sub>+…+（）/（）x<sub>n</sub>e<sub>n</sub>, W（x） =∑<sub>A</sub>, （）<sub>A</sub>W<sub>A</sub>（x） are unknown functions with values in a Clifford algebra （）<sub>n</sub> Undersome hypotheses, it is proved that the linear baundary value problem （where λf（x, W<sup>+</sup>（x）,W<sup>-</sup>（x）） =g（x）） has a unique solution and the nonlinear boundary value problem has atleast one solution.
文摘Some necessary and sufficient conditions of the oontinuity of A_x^+ are given in [1] In this paper, some advances on the base and the condition of the oontinuity of A_^+ for Semi-Fredholm operators A_x are presented.
文摘A novel and unusual sterol with unsaturation in the△^(5(14)) position,5α-cholesta-8(14),24(25)-diene-3β,6α-diol 1,was isolated from the South China Ses sponge Dysidea sp.The structure and relative stereochemistry of 1 was established by spectral analysis and comparison to the spectral data of known sterols.
文摘In this paper the authors prove the existence and uniqueness of global classicalsolutions to the typical free boundary problem for general quasilinear hyperbolic systems.As an application,a unique global discontinuous solution only containing n shocks ont≥0 is obtained for a class of generalized Riemann problem for the quasilinear hyperbolicsystem of n conservation laws.
