#### Filter Results:

- Full text PDF available (22)

#### Publication Year

2003

2017

- This year (2)
- Last 5 years (7)
- Last 10 years (26)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

where η ∈ (12 , 1) is a constant, g may be singular at t = 0 and/or 1. Moreover, F (t, u) may also have singularity at u = 0. The existence theorems of positive solutions for singular third-order third-point boundary value problems are obtained by using the first eigenvalue of the corresponding linear problems. Our results significantly extend and improve… (More)

- Fuyi Xu
- Applied Mathematics and Computation
- 2007

- Hua Su, Zhongli Wei, Fuyi Xu
- Applied Mathematics and Computation
- 2006

- Fuyi Xu, Leonid Shaikhet
- 2009

We study the following third-order p-Laplacian m-point boundary value problems on time scales: φp uΔ∇ ∇ a t f t, u t 0, t ∈ 0, T T, βu 0 − γuΔ 0 0, u T ∑m−2 i 1 aiu ξi , φp u Δ∇ 0 ∑m−2 i 1 biφp u Δ∇ ξi , where φp s is p-Laplacian operator, that is, φp s |s|p−2s, p > 1, φ−1 p φq, 1/p 1/q 1, 0 < ξ1 < · · · < ξm−2 < ρ T . We obtain the existence of positive… (More)

- Fuyi Xu, Hendrik Van Brussel, Marnix Nuttin, Ronny Moreas
- Robotics and Autonomous Systems
- 2003

An effective approach to dynamic obstacle avoidance for mobile robots is described in this paper. The main concepts in this approach include local Polar Object Chart (POC) for defining possible ways out, obstacle definition, detour mode, anchor for preventing getting lost, steering delimiting and velocity delimiting. The presented concepts and methods were… (More)

We study the following third-order p-Laplacian m-point boundary value problems on time scales φp uΔ∇ ∇ a t f t, u t 0, t ∈ 0, T T , u 0 ∑m−2 i 1 biu ξi , u Δ T 0, φp uΔ∇ 0 ∑m−2 i 1 ciφp u Δ∇ ξi , where φp s is p-Laplacian operator, that is, φp s |s|p−2s, p > 1, φ−1 p φq, 1/p 1/q 1, 0 < ξ1 < · · · < ξm−2 < ρ T . We obtain the existence of positive solutions… (More)

- Fuyi Xu, Zhenbo Chen, Feng Xu
- 2008

In this paper, we study the nonlinear second-order m-point boundary value problem u′′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, βu(0)− γu′(0) = 0, u(1) = m−2 X i=1 αiu(ξi), where the nonlinear term f is allowed to change sign. We impose growth conditions on f which yield the existence of at least two positive solutions by using a fixed-point theorem in double cones.… (More)

In this paper, three important preparation tasks of a planetary exploration system are described, namely calibration, terrain reconstruction and path planning. The calibration is retrieved from the images of the planetary terrain (the same images from which the 3D measurements of the terrain are obtained). Once the system has been calibrated, the same… (More)

- Fuyi Xu, Tianzhu Chao, +6 authors Junhua Xiao
- G3
- 2016

Mouse resources such as Collaborative Cross (CC), Outbred Stocks (OS), Hybrid Mouse Diversity Panel (HMDP), and Chromosome Substitution Strains (CSSs) have been instrumental to many progresses in the studies of complex traits genetics. We have established a population of chromosome 1 (Chr 1) substitution lines (C1SLs) in which donor chromosomes were derived… (More)

- Wenguang Yu, Fuyi Xu
- 2014

We consider a Markovian regime-switching risk model (also called the Markov-modulated risk model) with stochastic premium income, in which the premium income and the claim occurrence are driven by the Markovian regime-switching process. The purpose of this paper is to study the integral equations satisfied by the expected discounted penalty function. In… (More)