We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of represe...We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of representations of the q-deformed Heisenberg-Weyl algebra which is realized in the form of matrix q-differential operators in the even and odd q-coherent state space.We also analyse some different between the even and odd q-CSs and the usual even and odd CSs.展开更多
Analytic properties of three-point transition functions for wide-past Markov chains with two parameters are investigated. The concept "Standardness" is introduced. For standard three-point transition functio...Analytic properties of three-point transition functions for wide-past Markov chains with two parameters are investigated. The concept "Standardness" is introduced. For standard three-point transition functions, four systems of leftward, rightward, downward and upward partial differential equations are derived.展开更多
In this paper we define the new concept of β -semidifferentiability of a mapping and obtain the positive fixed point theorems for β -semidifferentiable k -set-contractive mappings. Then the theorems are ap-plied to ...In this paper we define the new concept of β -semidifferentiability of a mapping and obtain the positive fixed point theorems for β -semidifferentiable k -set-contractive mappings. Then the theorems are ap-plied to the nonlinear integral equation, x(t) = (s,x(s))ds , which can be interpreted as a modelfor the spread of certain infectious diseases, and the existence theorems of the positive solutions and positive eigenvalues for the equation are obtained.展开更多
文摘We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of representations of the q-deformed Heisenberg-Weyl algebra which is realized in the form of matrix q-differential operators in the even and odd q-coherent state space.We also analyse some different between the even and odd q-CSs and the usual even and odd CSs.
基金Project sopported by the National Natural Science Foundation of China
文摘Analytic properties of three-point transition functions for wide-past Markov chains with two parameters are investigated. The concept "Standardness" is introduced. For standard three-point transition functions, four systems of leftward, rightward, downward and upward partial differential equations are derived.
基金Supported by the University Natural Science Foundation
文摘In this paper we define the new concept of β -semidifferentiability of a mapping and obtain the positive fixed point theorems for β -semidifferentiable k -set-contractive mappings. Then the theorems are ap-plied to the nonlinear integral equation, x(t) = (s,x(s))ds , which can be interpreted as a modelfor the spread of certain infectious diseases, and the existence theorems of the positive solutions and positive eigenvalues for the equation are obtained.
