炎热的夏天已经过去了,北京城最美好的季节——秋天终于来到了大家的身边。各种基于nVIDIA的GeForce FX系列图形核心的显示卡也如同雨后春笋,纷纷在市场上出现,而且不断普及。这次,松景公司又送来了一款别出心裁的GeForce FX 5200显卡,...炎热的夏天已经过去了,北京城最美好的季节——秋天终于来到了大家的身边。各种基于nVIDIA的GeForce FX系列图形核心的显示卡也如同雨后春笋,纷纷在市场上出现,而且不断普及。这次,松景公司又送来了一款别出心裁的GeForce FX 5200显卡,型号仍旧是我们曾经评测过的XFX PV—T34K。仔细一看,原来它和我们上次的主角之间的差异在显存上,这块显卡居然配备有256MB“超级”容量的显存,真可谓是“大肚能容天下”了。展开更多
By using Krasnoselskii’s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equ...By using Krasnoselskii’s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained. MR Subject Classification 34K10 Keywords positive solution - retarded differential equation - nonlocal boundary value problem - Krasnoselskii’s fixed-point theorem Supported by the National Natural Science Foundation of China (10361006), the Natural Science Foundation of Yunnan Province (2003A0001M), Youth Natural Science Foundation of Yunnan Univ. (K1059099) and Science Foundation of Yunnan Educational Community.展开更多
In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set rec...In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is efficient and stable.展开更多
Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs...Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs if and only if it is A-stable and consistent of order p in classical sense for ODEs, where p = 1, 2. A numerical example that confirms the theoretical results is given in the end of this paper.展开更多
In this paper, the existence of two positive periodic solutions for a generalized delayed population model with an exploited term is established by using the continuation theorem of the coincidence degree theory.
In this article, we first study the trace for the heat kernel for the sub-Laplacian operator on the unit sphere in ? n+1. Then we survey some results on the spectral zeta function which is induced by the trace of the ...In this article, we first study the trace for the heat kernel for the sub-Laplacian operator on the unit sphere in ? n+1. Then we survey some results on the spectral zeta function which is induced by the trace of the heat kernel. In the second part of the paper, we discuss an isospectral problem in the CR setting.展开更多
In this paper, the existence and uniqueness of periodic solutions of linearfunctional differential equat,ions, including neutral equations, with constant coef-ficients are investigated, necessary and sufficient condit...In this paper, the existence and uniqueness of periodic solutions of linearfunctional differential equat,ions, including neutral equations, with constant coef-ficients are investigated, necessary and sufficient conditions for the existence anduniqueness of periodic solutions of linear neutral functional differential equationsand some of their special oases are given via systems of linear algebraic equations. Especially, the problems of existonce and Uniqueness of periodic solutions ofgeneral linear functional differential equations of non-neutral type are completelysolved.展开更多
In this paper the functional-differential equation of the distribution of primenumbers derived by de Visme [4] is strdied in details. It is proved that there existinfinitely many solutions of this equation , and all p...In this paper the functional-differential equation of the distribution of primenumbers derived by de Visme [4] is strdied in details. It is proved that there existinfinitely many solutions of this equation , and all positive strong solutions andpositive solutions of the Cauchy problem behave very much like the distrbutionfunction of prime numbers. The results are complementary to Driver [1] andwright [3].展开更多
The purpose of this paper is no investigate the asymptotic behavior of soluti- ons of the fored nonlinear neutral diffierential equationsOur rosults, as a special case, improve and extend the corresponding results in[...The purpose of this paper is no investigate the asymptotic behavior of soluti- ons of the fored nonlinear neutral diffierential equationsOur rosults, as a special case, improve and extend the corresponding results in[1] and [2].展开更多
文摘炎热的夏天已经过去了,北京城最美好的季节——秋天终于来到了大家的身边。各种基于nVIDIA的GeForce FX系列图形核心的显示卡也如同雨后春笋,纷纷在市场上出现,而且不断普及。这次,松景公司又送来了一款别出心裁的GeForce FX 5200显卡,型号仍旧是我们曾经评测过的XFX PV—T34K。仔细一看,原来它和我们上次的主角之间的差异在显存上,这块显卡居然配备有256MB“超级”容量的显存,真可谓是“大肚能容天下”了。
基金Supported by the National Natural Science Foundation of China( 1 0 361 0 0 6) the Natural ScienceFoundation of Yunnan Province( 2 0 0 3A0 0 0 1 M) Youth Natural Science Foundation of Yunnan Univ.( K1 0 5 90 99) and Science Foundation of Yunnan E
文摘By using Krasnoselskii’s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained. MR Subject Classification 34K10 Keywords positive solution - retarded differential equation - nonlocal boundary value problem - Krasnoselskii’s fixed-point theorem Supported by the National Natural Science Foundation of China (10361006), the Natural Science Foundation of Yunnan Province (2003A0001M), Youth Natural Science Foundation of Yunnan Univ. (K1059099) and Science Foundation of Yunnan Educational Community.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10431030, 10771138)the Shanghai Natural Science Foundation (Grant No. 07JC14001)+1 种基金the National Basic Research Program (GrantNo. 2005CB321701)Ministry of Education of China and State Administration of Foreign Experts Affairsof China under an 111 project (Grant No. B08018)
文摘In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is efficient and stable.
基金supported by National Natural Science Foundation of China (Grant No. 10871164)the Natural Science Foundation of Hunan Province (Grant No. 08JJ6002)the Scientific Research Fund of Changsha University of Science and Technology (Grant No. 1004259)
文摘Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs if and only if it is A-stable and consistent of order p in classical sense for ODEs, where p = 1, 2. A numerical example that confirms the theoretical results is given in the end of this paper.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 10271044)
文摘In this paper, the existence of two positive periodic solutions for a generalized delayed population model with an exploited term is established by using the continuation theorem of the coincidence degree theory.
基金supported by National Security Agency,United States Army Research Offfice and a Hong Kong RGC Competitive Earmarked Research (Grant No. 600607)
文摘In this article, we first study the trace for the heat kernel for the sub-Laplacian operator on the unit sphere in ? n+1. Then we survey some results on the spectral zeta function which is induced by the trace of the heat kernel. In the second part of the paper, we discuss an isospectral problem in the CR setting.
文摘In this paper, the existence and uniqueness of periodic solutions of linearfunctional differential equat,ions, including neutral equations, with constant coef-ficients are investigated, necessary and sufficient conditions for the existence anduniqueness of periodic solutions of linear neutral functional differential equationsand some of their special oases are given via systems of linear algebraic equations. Especially, the problems of existonce and Uniqueness of periodic solutions ofgeneral linear functional differential equations of non-neutral type are completelysolved.
文摘In this paper the functional-differential equation of the distribution of primenumbers derived by de Visme [4] is strdied in details. It is proved that there existinfinitely many solutions of this equation , and all positive strong solutions andpositive solutions of the Cauchy problem behave very much like the distrbutionfunction of prime numbers. The results are complementary to Driver [1] andwright [3].
文摘The purpose of this paper is no investigate the asymptotic behavior of soluti- ons of the fored nonlinear neutral diffierential equationsOur rosults, as a special case, improve and extend the corresponding results in[1] and [2].
