Yujun Cui
Shandong University of Science and Technology
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Publication
Featured researches published by Yujun Cui.
Abstract and Applied Analysis | 2013
Yujun Cui; Lishan Liu; Xingqiu Zhang
This paper provides sufficient conditions for the existence and uniqueness of positive solutions to a singular differential system with integral boundary value. The emphasis here is that the boundary conditions are coupled and this is where the main novelty of this work lies. By mixed monotone method, the existence and uniqueness results of the problem are established. An example is given to demonstrate the main results.
Boundary Value Problems | 2012
Yujun Cui; Jingxian Sun
This paper deals with the positive solutions of a fourth-order boundary value problem in Banach spaces. By using the fixed-point theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to a fourth-order boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.MSC:34B15.
Boundary Value Problems | 2010
Xingqiu Zhang; Yujun Cui
By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo- as well as positive solutions for fourth-order singular -Laplacian differential equations with integral boundary conditions. Our nonlinearity may be singular at , , and . The dual results for the other integral boundary condition are also given.
Journal of Function Spaces and Applications | 2017
Yang Wang; Yansheng Liu; Yujun Cui
This paper is concerned with the existence of multiple solutions for the following nonlinear fractional boundary value problem: , , where , with , and stand for the left and right Riemann-Liouville fractional derivatives of order , respectively, and is continuous. The existence of infinitely many nontrivial high or small energy solutions is obtained by using variant fountain theorems.
Boundary Value Problems | 2017
Xinan Hao; Huaqing Wang; Lishan Liu; Yujun Cui
Boundary Value Problems | 2017
Mingyue Zuo; Xinan Hao; Lishan Liu; Yujun Cui
Boundary Value Problems | 2017
Qiao Sun; Yujun Cui
Boundary Value Problems | 2018
Jing Wu; Xinguang Zhang; Lishan Liu; Yonghong Wu; Yujun Cui
Mathematical Modelling and Analysis | 2018
Xinguang Zhang; Jing Wu; Lishan Liu; Yonghong Wu; Yujun Cui
Boundary Value Problems | 2018
Yang Wang; Yansheng Liu; Yujun Cui
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