Let P denote the class of all standard p-functions as defined in Kingman's theory of regenerative phenomena. Put I(M)=inf inf p(t), and v_0=inf{M: I(M)>0}. In this paper, a new upper bound for v_0 is obtained: ...Let P denote the class of all standard p-functions as defined in Kingman's theory of regenerative phenomena. Put I(M)=inf inf p(t), and v_0=inf{M: I(M)>0}. In this paper, a new upper bound for v_0 is obtained: v_0≤(1/2).展开更多
In this paper, we solve the quadratic p-functional inequalities ……where p is a fixed complex number with ｜P｜ 〈 1, and^where p is a fixed complex number with ｜P｜ 〈 2^-1.Using the direct method, we prove the Hye...In this paper, we solve the quadratic p-functional inequalities ……where p is a fixed complex number with ｜P｜ 〈 1, and^where p is a fixed complex number with ｜P｜ 〈 2^-1.Using the direct method, we prove the Hyers-Ulam stability of the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces and prove the Hyers-Ulam stability of quadratic p-functional equations associated with the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces.展开更多
This paper presents an infeasible-interior-point algorithm for aclass of nonmonotone complementarity problems, and analyses its convergence and computational complexity. The results indicate that the proposed algorith...This paper presents an infeasible-interior-point algorithm for aclass of nonmonotone complementarity problems, and analyses its convergence and computational complexity. The results indicate that the proposed algorithm is a polynomial-time one.展开更多
In this paper a function called P-function is introduced. A class of neutral functional differential equations which include ones with bounded lag and unbounded lag is defined by the P-function. The basic theory is es...In this paper a function called P-function is introduced. A class of neutral functional differential equations which include ones with bounded lag and unbounded lag is defined by the P-function. The basic theory is established in space C consisting of continuous functions defined on a finite interval.展开更多
文摘Let P denote the class of all standard p-functions as defined in Kingman's theory of regenerative phenomena. Put I(M)=inf inf p(t), and v_0=inf{M: I(M)>0}. In this paper, a new upper bound for v_0 is obtained: v_0≤(1/2).
基金supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(NRF-2012R1A1A2004299)
文摘In this paper, we solve the quadratic p-functional inequalities ……where p is a fixed complex number with ｜P｜ 〈 1, and^where p is a fixed complex number with ｜P｜ 〈 2^-1.Using the direct method, we prove the Hyers-Ulam stability of the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces and prove the Hyers-Ulam stability of quadratic p-functional equations associated with the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 19971065) .
文摘This paper presents an infeasible-interior-point algorithm for aclass of nonmonotone complementarity problems, and analyses its convergence and computational complexity. The results indicate that the proposed algorithm is a polynomial-time one.
文摘In this paper a function called P-function is introduced. A class of neutral functional differential equations which include ones with bounded lag and unbounded lag is defined by the P-function. The basic theory is established in space C consisting of continuous functions defined on a finite interval.
