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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 
Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay被引量：1
《Acta Mathematicae Applicatae Sinica》2021年第3期573-589,共17页Xiao-feng SU Xian-long FU 
by National Science Foundation of China(Nos.11671142 and 11771075);Science and Technology Commission of Shanghai Municipality(STCSM)(grant No.18dz2271000).
In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fund...
关键词：approximate controllability second-order evolution equation fundamental solution cosine operator 
Existence of Positive Solutions of Second-order Periodic Boundary Value Problems with Sign-Changing Green＇s Function被引量：9
《Acta Mathematicae Applicatae Sinica》2017年第2期263-268,共6页Cheng-hua GAO Fei ZHANG Ru-yun MA 
Supported by the National Natural Science Foundation of China(No.11321627,11401479,71561024,11561063);China Postdoctoral Science Foundation(2014M562472);Postdoctoral Science Foundation of Gansu Province;the Science Research Project for Colleges and Universities of Gansu Province(2016A-003)
In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem where 0 〈 ε 〈 1/2, g ： [0, 2π] →R is continuous, f ： [0, ∞） →R is continuous and λ 〉 0 is a pa...
关键词：periodic boundary value problem EXISTENCE positive solutions sign-changing Green＇s functions 
New Second-order Contingent Epiderivatives and Set-valued Optimization Problems被引量：1
《Acta Mathematicae Applicatae Sinica》2016年第4期983-994,共12页Sheng-kun ZHU Sheng-jie LI 
Supported in part by the National Natural Science Foundation of China under Grant No.11601437,11526165and 11571055;the Scientific Research Fund of Sichuan Provincial Science and Technology Department under Grant No.2015JY0237;the Fundamental Research Funds for the Central Universities under Grant No.JBK160129
In this paper, we introduce the concept of second-order compound contingent epiderivative for set-valued maps and discuss its relationship to the second-order contingent epiderivative. Simultaneously, we also investig...
关键词：set-valued optimization second-order compound contingent epiderivative optimality conditions 
Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation被引量：1
《Acta Mathematicae Applicatae Sinica》2015年第2期335-368,共34页Shao-liang YUAN Zhu-jun JING 
Supported by the National Natural Science Foundation of China(No.11361037,11371132);the Natural Science Foundation of Hunan Province(No.11JJ3012);the Graduate Innovation Fund of Hunan Province(No.CX2011B183)
Josephson system with parametric excitation is investigated. Using second-order averaging method and Melnikov function, we analyze the existence and bifurcations for harmonic,（2, 3, n-order） subharmonics and（2, 3-o...
关键词：Josephson system BIFURCATIONS CHAOS second-order averaging method Melnikov method 
Generalized Multiobjective Symmetric Duality under Second-Order(F, α, ρ, d)-Convexity
《Acta Mathematicae Applicatae Sinica》2015年第2期529-542,共14页S.K.Gupta D.Dangar 
Department of Mathematics,Indian Institute of Technology Patna,Patna 800 013,India
In this paper, we first formulate a second-order multiobjective symmetric primal-dual pair over arbitrary cones by introducing two different functions f ： R^n × R^m → Rk and g ： R^n × R^m → R^l in each k-objecti...
关键词：multiobjective symmetric duality second-order（F α ρ d）-convex duality theorems MINIMAX self duality 
Bifurcations and Chaos in Duffng Equation with Damping and External Excitations被引量：1
《Acta Mathematicae Applicatae Sinica》2014年第2期483-504,共22页Mei-xiang CAI Jian-ping YANG Jin DENG 
Supported by the National Natural Science Foundation of China(No.10801135,11101170);Hunan Provincial Natural Science Foundation of China(No.13JJ4088);talent introduction fund(No.104-0163)
Duffing equation with damping and external excitations is investigated. By using Melnikov method and bifurcation theory, the criterions of existence of chaos under periodic perturbations are obtained. By using second-...
关键词：Duffing equation Melnikov method second-order averaging method CHAOS 
Three Symmetric Positive Solutions for Second-order Nonlocal Boundary Value Problems
《Acta Mathematicae Applicatae Sinica》2011年第2期233-242,共10页Yong-ping Sun 
Supported by the National Natural Science Foundation of Zhejiang Province of China(No.Y605144);the Science Research Foundation of Educational Department of Zhejiang Province of China(No.200804671)
Using the Leggett-Williams fixed point theorem, we will obtain at least three symmetric positive solutions to the second-order nonlocal boundary value problem of the form u″（t）＋g（t）f（t,u（t））=0,0〈t〈1,u（0...
关键词：symmetric positive solution nonlocal boundary value problem fixed point theorem 
Oscillation of Second-order Quasilinear Neutral Delay Difference Equations被引量：2
《Acta Mathematicae Applicatae Sinica》2011年第1期93-104,共12页Dong-mei Wang Zhi-ting Xu 
Supported by the National Natural Science Foundation of Guangdong Province under Grant (No.8451063101000730)
By using the Riccati transformation and mathematical analytic methods, some sufficient conditions are obtained for oscillation of the second-order quasilineoa＂ neutral delay difference equations
关键词：OSCILLATION Riccati transformation Difference equations 
A Second-order Fluid Queue with Subordinator Input and Markov-modulated Linear Output
《Acta Mathematicae Applicatae Sinica》2009年第2期345-352,共8页Jin-zhi Li 
Supported by the National Natural Science Foundation of China(No.10726063)
We consider an infinite capacity second-order fluid queue with subordinator input and Markovmodulated linear release rate. The fluid queue level is described by a generalized Langevin stochastic differential equation ...
关键词：Second-order fluid queue SUBORDINATOR Markov chain linear release rate 
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