SECOND-ORDER

作品数:660被引量:1037H指数:12
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相关领域:理学更多>>
相关作者:孙志忠郭力李霞林王成山阮文权更多>>
相关机构:东南大学哈尔滨工业大学北京应用物理与计算数学研究所上海交通大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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UV -theory of a Class of Semidefinite Programming and Its Applications被引量:1
《Acta Mathematicae Applicatae Sinica》2021年第4期717-737,共21页Ming HUANG Jin-long YUAN Li-ping PANG Zun-quan XIA 
This paper is supported by the National Natural Science Foundation of China(Nos.11701063,11901075);the Project funded by China Postdoctoral Science Foundation(Nos.2019M651091,2019M661073);the Fundamental Research Funds for the Central Universities(Nos.3132021193,3132021199);the Natural Science Foundation of Liaoning Province in China(Doctoral Startup Foundation of Liaoning Province in China(Nos.2020-BS-074);Dalian Youth Science and Technology Star(No.2020RQ047);Huzhou Science and Technology Plan(No.2016GY03);Key Research and Development Projects of Shandong Province(No.2019GGX104089);the Natural Science Foundation of Shandong Province(No.ZR2019BA014).
In this paper we study optimization problems involving convex nonlinear semidefinite programming(CSDP).Here we convert CSDP into eigenvalue problem by exact penalty function,and apply the U-Lagrangian theory to the fu...
关键词:semidefinite programming nonsmooth optimization eigenvalue optimization UV-decomposition u-Lagrangian smooth manifold second-order derivative 
Lagrangian stability of a class of second-order periodic systems with nonlinear damping term
《Journal of Southeast University(English Edition)》2012年第1期130-134,共5页江舜君 方芳 
The National Natural Science Foundation of China(No. 11071038);the Natural Science Foundation of Jiangsu Province(No. BK2010420)
By the iteration of the KAM, the following second- order differential equation ( Фp (x′))′ + F(x, x′, t) + ω^PФp (x′) +α│x│^l +e(x, t) =0 is studied, where Фp(S) = │S│^p-2s, p 〉 1, α〉 0...
关键词:reversible system KAM theorem boundedness ofsolutions 
Stabilization for a class of second-order switched systems with saturation constrains被引量:1
《Journal of Shanghai University(English Edition)》2009年第4期274-275,共2页宋杨 顾煜祺 费敏锐 
supported by the China Postdoctoral Science Foundation (Grant No.20070420643);the National Natural Science Foundation of China (Grant No.60774059);the Innovation Program of the Shanghai Municipal Science and Technology Commission (Grant No.08DZ2272400)
This paper proposes a global stabilization method for a class of planar switched systems with input saturation constrains by using a state feedback and switching strategy. This method is proved to be effective by anal...
关键词:switched system input saturation STABILIZATION 
Solvability of a class of second-order quasilinear boundary value problems
《Applied Mathematics and Mechanics(English Edition)》2009年第8期1055-1062,共8页姚庆六 
The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonline...
关键词:quasilinear ordinary differential equation two-point boundary value problem SOLVABILITY Lebesgue dominated convergence theorem 
OSCILLATION FOR A CLASS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES被引量:2
《Annals of Differential Equations》2007年第4期525-529,共5页Xu Huazhong Zhang Xinren 
the Foundation of Binzhou University (BZXYQMG200622);the Foundation of Educational Department of Shandong Province (J07WH01)
This paper discusses the oscillation of second-order nonlinear differential equations with impulses. Sufficient conditions for all solutions of the equation to be oscillated are obtained.
关键词:econd order NONLINEAR impulsive differential equations OSCILLATION 
Eigenstructure assignment in a class of second-order dynamic systems被引量:8
《控制理论与应用(英文版)》2006年第3期302-308,共7页Guosheng WANG Qiang LV Guangren DUAN 
Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop ...
关键词:Second-order dynamic systems Eigenstructure assignment Proportional-plus-derivative control Parametric solutions 
TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS被引量:2
《Annals of Differential Equations》2006年第1期1-6,共6页Cai Xiaochun 
In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation.
关键词:nonlinear difference equations boundary value problem criticalpoint theory 
A Class of a Second-Order Two-Point Boundary Value Problem on a Measure Chain
《Journal of Beijing Institute of Technology》2004年第S1期104-107,共4页杜增吉 葛渭高 
A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at...
关键词:boundary value problem measure chains fixed point theorem 
Anti-periodic solutions to a class of second-order evolution equations
《Journal of Southeast University(English Edition)》2003年第4期432-436,共5页张莉娜 薛星美 
In this paper we discuss the anti-periodic problem for a class of abstractnonlinear second-order evolution equations associated with maximal monotone operators in Hilbertspaces and give some new assumptions on operato...
关键词:maximal monotone operator anti-periodic solution poincare inequality second-order evolution equations 
A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E_2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM
《Applied Mathematics and Mechanics(English Edition)》2003年第2期163-181,共19页李明忠 徐定华 
theNationalNaturalScienceFoundationofChina( 19671056)ShanghaiMunicipalNaturalScientificFoundation(99ZA14030,01ZA14023)JiangxiProvincialNaturalScientificFoundation(981 1 0 2,0 211014)
A class of nonlinear boundary value problems(BVP) for the second_order E 2 class elliptic systems in general form is discussed. By introducing a kind of transformation,this kind of BVP is reduced to a class of genera...
关键词:elliptic systems boundary value problems singular integral equations singular integral operators EXISTENCE 
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