Five kinds of cones are introduced, which are used to establish the constraints qualifications, under which the generalized Kuhn-Tucker necessary conditions are developed for a class of generalized (h,φ)-differentiab...Five kinds of cones are introduced, which are used to establish the constraints qualifications, under which the generalized Kuhn-Tucker necessary conditions are developed for a class of generalized (h,φ)-differentiable single-objective and multiobjective programming problems by using Motzkin's alternative theorem and Ben-Tal generalized algebraic operations.展开更多
In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded...In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded into a simple 2-generated associative differ- ential algebra （resp., associative Ωalgebra, associative λ-differential algebra）.展开更多
Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main resu...Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established.展开更多
基金This research is supported by the National Natural Science Foundation of China Grant 10261006, the Foundation of Education Section of Excellent Doctorial Theses Grant 200217 and the Basic Theory Foundation of Nanchang University.
文摘Five kinds of cones are introduced, which are used to establish the constraints qualifications, under which the generalized Kuhn-Tucker necessary conditions are developed for a class of generalized (h,φ)-differentiable single-objective and multiobjective programming problems by using Motzkin's alternative theorem and Ben-Tal generalized algebraic operations.
文摘In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded into a simple 2-generated associative differ- ential algebra （resp., associative Ωalgebra, associative λ-differential algebra）.
基金This work was supported by the National Natural Science Foundation of China(Grant No.10626054,10701077)the Knowledge Innovation Project of Chinese Academy of Sciences(Grant No.KJCX3-SYW-S03)the National Key Basic Research Project of China(Grant No.2004CB31800,2006CB805905)
文摘Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established.
