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Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:  Liu, Yanyan;  Li, Chong;  Li, Shujie
收藏  |  浏览/下载:133/0  |  提交时间:2021/10/26
Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载:143/0  |  提交时间:2021/04/26
distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
A penalty-free method with superlinear convergence for equality constrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 卷号: 76, 期号: 3, 页码: 801-833
作者:  Chen, Zhongwen;  Dai, Yu-Hong;  Liu, Jiangyan
收藏  |  浏览/下载:142/0  |  提交时间:2020/09/23
Equality constrained optimization  Trust region method  Penalty-free method  Global convergence  Superlinear convergence  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载:170/0  |  提交时间:2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
Solutions of a class of Hamiltonian elliptic systems in R-N 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 卷号: 362, 期号: 2, 页码: 338-349
作者:  Yang, Minbo;  Chen, Wenxiong;  Ding, Yanheng
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Variational methods  Ground state solution  Superlinear  Critical points  
A trust region method for optimization problem with singular solutions 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2007, 卷号: 56, 期号: 3, 页码: 379-394
作者:  Zhang, Juliang;  Wu, Liangyun;  Zhang, Xiangsun
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
nonlinear convex optimization  trust region method  local error bound  superlinear convergence  nonsingularity  
Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 卷号: 251, 期号: 2, 页码: 546-572
作者:  Ding, Yanheng;  Wei, Juncheng
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
nonlinear Schrodinger equation  sign-changing potential  superlinear  supercritical growth  
Solutions of a system of diffusion equations 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 卷号: 2, 期号: 1, 页码: 117-139
作者:  Ding, Yanheng;  Luan, Shixia;  Willem, Michel
收藏  |  浏览/下载:80/0  |  提交时间:2018/07/30
Spectrum  infinitely many homoclinics  asymptotically linear  superlinear  critical points  
Gradient methods with adaptive step-sizes 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2006, 卷号: 35, 期号: 1, 页码: 69-86
作者:  Zhou, Bin;  Gao, Li;  Dai, Yu-Hong
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
linear system  gradient method  adaptive step-size  Barzilai-Borwein method  superlinear behavior  trust-region approach  
Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2006, 卷号: 8, 期号: 4, 页码: 453-480
作者:  Ding, Yanheng
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
spectrum  infinitely many homoclinics  asymptotically linear  superlinear  critical points