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- CAISHENG JI, Baoqiang Yan
- 2010

In this article, we study the existence and uniqueness of the positive solution for a second-order singular three-point boundary-value problem with sign-changing nonlinearities. Our main tool is a fixed-point theorem.

- Baoqiang Yan, Yansheng Liu
- Applied Mathematics and Computation
- 2004

Shanping Qiao*, Baoqiang Yan School of Management Science and Engineering, Shandong Normal University Shandong Provincial Key Laboratory of Network Based Intelligent Computing, School of Information Science and Engineering, University of Jinan, No. 336, West Road of Nan Xinzhuang, Jinan 250022, China, Ph.: +86-53189736503 School of Mathematical Science,… (More)

- Baoqiang Yan, Philip J. Rhodes
- 2006 IEEE International Conference on Cluster…
- 2006

Disk and network latency must be taken into account when applying parallel computing to large multidimensional datasets because they can hinder performance by reducing the rate at which data can be fed to the compute nodes. Existing methods aggregate some number of data requests from cluster nodes to improve overall performance by reducing the number of… (More)

- Baoqiang Yan, Philip J. Rhodes
- HPDC
- 2008

High performance parallel computing infrastructures, such as computing clusters, have recently become freely available for scientific researchers to solve problems of unprecedented scale through data parallelization. However scientists are not necessarily skilled in writing efficient parallel code, especially when dealing with spatial datasets. Two… (More)

- Yansheng Liu, Baoqiang Yan
- 2006

Using a specially constructed cone and the fixed point index theory, this paper shows the existence of multiple positive solutions for a class of nonresonant singular boundary-value problem of second-order differential equations. The nonexistence of positive solution is also studied.

- Baoqiang Yan
- 2006

In this paper, Krasnoselskii’s theorem and the fixed point theorem of cone expansion and compression are improved. Using the results obtained, we establish the existence of multiple positive solutions for the singular second-order boundary-value problems with derivative dependance on finite and infinite intervals.

- Philip J. Rhodes, Baoqiang Yan
- Eurographics
- 2009

- Fengfei Jin, Baoqiang Yan
- 2008

Recommended by Raul Manasevich Positive solutions to the singular initial-boundary value problems x −ft, x t , 0 < t < 1, x 0 0, x1 0, are obtained by applying the Schauder fixed-point theorem, where x t u xt u 0 ≤ t ≤ 1 on −r, 0 and f·, · : 0, 1 × C \{0}→R C {x ∈ C−r, 0, R, xt ≥ 0, ∀t ∈ −r, 0} may be singular at ϕu 0 −r ≤ u ≤ 0 and t 0. As an application,… (More)

- Yun Chen, Baoqiang Yan, Lili Zhang
- 2007

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.