DEGENERACY

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Controllability of Nonlinear Discrete Systems with Degeneracy
《Acta Mathematicae Applicatae Sinica》2023年第2期293-305,共13页Yue LYU Xue-li TAN Xue YANG Yong LI 
supported by National Natural Science Foundation of China (grant No.41874132);supported by National Natural Science Foundation of China (grant No.11201173);National Natural Science Foundation of China (grant No.11171132,grant No.11571065);Science and Technology Developing Plan of Jilin Province (grant No.20180101220JC);supported by National Basic Research Program of China (grant No.2013CB834100);Jilin DRC (grant No.2017C028-1)。
This paper concerns the controllability of autonomous and nonautonomous nonlinear discrete systems,in which linear parts might admit certain degeneracy.By introducing Fredholm operators and coincidence degree theory,s...
关键词：nonlinear discrete systems CONTROLLABILITY DEGENERACY Fredholm operators coincidence degree theory 
Evolutionary p(x)-Laplacian Equation with a Convection Term
《Acta Mathematicae Applicatae Sinica》2019年第3期655-670,共16页Hua-shui ZHAN 
Supported by the National Natural Science Foundation of China(No.2015J01592,No.2019J01858)
The paper studies an evolutionary p(x)-Laplacian equation with a convection term ut=div(ρα|■u|p(x)-2■u)+∑N i=1■bi(u)/■xi,whereρ(x)=dist(x,■Ω),ess inf p(x)=p^->2.To assure the well-posedness of the solutions,...
关键词：EVOLUTIONARY p(x)-Laplacian equation WEEK solution Fichera-Oleinik theory boundary DEGENERACY 
A ROBUST SUPERLINEARLY CONVERGENT ALGORITHM FOR LINEARLY CONSTRAINED OPTIMIZATION PROBLEMS UNDER DEGENERACY
《Acta Mathematicae Applicatae Sinica》1998年第4期363-373,共11页曾庆光 贺国平 吴方 
In this paper, the problem of minimizing a convex function subject to general linear constraints is considered. An algorithm which is an extension of the method described in [4] is presented. And a new dual simplex pr...
关键词：Linearly constrained optimization problem DEGENERACY dual simplex method superlinear convergence 
A　GENERAL　TECHNIQUE　FOR　DEALING　WITH　DEGENERACY　IN　REDUCED　GRADIENT　METHODS　FOR　LINEARLY　CONSTRAINED　NONLINEAR　PROGRAMMING
《Acta Mathematicae Applicatae Sinica》1994年第1期90-101,共12页韩继业 胡晓东 
In this paper we discuss the degeneracy in nonlinear programming with linear constraints, and give a technique for dealing with degeneracy in a general model of reduced gradient algorithms. Under the assumption that t...
关键词：DEGENERACY reduced gradient algorithms pivoting operation global convergence nonlinear programming 
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