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STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 卷号: 14, 期号: 6, 页码: 1857-1870
作者:  Cheng, Xiyou;  Zhang, Zhitao
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/02
Schrodinger system  Positive solution  Existence and uniqueness  Synchronized solution  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
作者:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition  
Existence and nonexistence of positive solutions for a static Schrodinger-Poisson-Slater equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5912-5941
作者:  Liu, Zhisu;  Zhang, Zhitao;  Huang, Shuibo
收藏  |  浏览/下载：123/0  |  提交时间：2019/03/11
Schrodinger-Poisson-Slater problem  Positive solution  Perturbation technique  Concentration-compactness principle  
The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations 期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2018, 卷号: 66, 期号: 4, 页码: 827-839
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：179/0  |  提交时间：2018/07/30
System of nonlinear matrix equations  positive definite solution  structure-preserving doubling algorithm  convergence analysis  numerical examples  65H10  65F10  15A24  
Structure of positive solutions to a Schrodinger system 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 卷号: 19, 期号: 1, 页码: 877-887
作者:  Zhang, Zhitao;  Wang, Wei
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger equation  existence and uniqueness of positive solution  synchronized solution  
Existence and bifurcation of solutions for a double coupled system of Schrodinger equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2015, 卷号: 58, 期号: 8, 页码: 1607-1620
作者:  Tian RuShun;  Zhang ZhiTao
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
bifurcation  system of Schrodinger equations  positive solution  synchronized solution branch  
Existence of positive solutions for a general nonlinear eigenvalue problem 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 卷号: 27, 期号: 3, 页码: 367-372
作者:  Cheng, Xi-you;  Zhang, Zhi-tao
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
unbounded linear operator  fixed point index  positive solution  
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
Positive solutions for a multi-parameter system of second-order ordinary differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 5, 页码: 959-972
作者:  Cheng XiYou;  Zhang ZhiTao
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
positive solution  ordinary differential systems  fixed point index  
EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 卷号: 34, 期号: 2, 页码: 267-277
作者:  Cheng, Xiyou;  Zhang, Zhitao
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Positive solution  Hammerstein integral equations  fixed point index  product cone