Fuyi Xu

Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales (2009)

Fuyi Xu

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,...

The Existence of Positive Solutions for Third-Order p-Laplacian m-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales (2009)

Fuyi Xu, Zhaowei Meng

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]Tκ,...

Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales (2009)

Jian Liu, Fuyi Xu

We study the following third-order m-point boundary value problems on time scales (φ(uΔ∇))∇+a(t)f(u(t))=0, t∈[0,T]T, u(0)=∑i=1m−2biu(ξi),...

The Existence of Positive Solutions for Third-Order p-Laplacian m-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales (2009)

Fuyi Xu, Zhaowei Meng

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]Tκ, u(0)=∑i=1m−2biu(ξi), uΔ(T)=0,...

Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales (2009)

Jian Liu, Fuyi Xu

We study the following third-order m-point boundary value problems on time scales (φ(uΔ∇))∇+a(t)f(u(t))=0, t∈[0,T]T, u(0)=∑i=1m−2biu(ξi), uΔ(T)=0,...

Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations (2009)

Wenling Zhao, Hongkui Li, Xueting Liu, Fuyi Xu

We study the Hermitian positive definite solutions of the nonlinear matrix equation X+A∗X−2A=I, where A is an n×n nonsingular matrix. Some necessary and sufficient conditions for the existence...

Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations (2009)

Wenling Zhao, Hongkui Li, Xueting Liu, Fuyi Xu

We study the Hermitian positive definite solutions of the nonlinear matrix equation X+A∗X−2A=I, where A is an n×n nonsingular matrix. Some necessary and sufficient conditions for...

Multiple positive solutions for nonlinear second-order m-point boundary-value problems with sign changing nonlinearities (2008)

Fuyi Xu, Zhenbo Chen, Feng Xu

In this paper, we study the nonlinear second-order m-point boundary value problem $$displaylines{ u''(t)+f(t,u)=0,quad 0leq t leq 1, cr eta u(0)-gamma u'(0)=0,quad u(1)=sum _{i=1}^{m-2}alpha_{i}...

Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales (2008)

Fuyi Xu

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)=∑i=1m−2aiu(ξi),...

Calibration, Terrain Reconstruction and Path Planning for a Planetary Micro-Rover (2007)

Maarten Vergauwen, Marc Pollefeys, Ronny Moreas, Fuyi Xu, Gianfranco Visentin, Luc Van Gool, ...

path planning. In this paper, three important preparation tasks of a planetary exploration system are described, namely calibration, terrain reconstruction and path planning. The calibration is...

Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities (2006)

Fuyi Xu, Yonghong Wu, Lishan Liu, Yunming Zhou

We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators...

Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities (2006)

Fuyi Xu, Yonghong Wu, Lishan Liu, Yunming Zhou

We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators...