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EKELAND: 作品数：44被引量：64H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：张启敏史建伟杨心情程迪祥丘京辉更多>>; 相关机构：宁夏大学西南大学苏州大学贵州民族大学更多>>; 相关期刊：《重庆师范大学学报（自然科学版）》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

NEAR-OPTIMALITY OF A STOCHASTIC ECONOMIC-ENVIRONMENT MODEL WITH POLLUTION CONTROL STRATEGIES: 《Acta Mathematica Scientia》2024年第6期2190-2206,共17页Jing XU Lu LU Xinyu SONG; supported by the National Natural Science Foundation of China(12071407,12171193);the Natural Science Foundation of Hubei Province(2024AFB170)。; Economic development has caused a lot of environmental problems,in turn,environmental pollution restricts economic development.Considering the influence of wind direction and speed,temperature and humidity on pollutan...; 关键词：economic-environment model near-optimality adjoint equation Hamiltonian function Ekeland's variational principle

含扰动项的Chern-Simons-Schrödinger方程的多解: 《中国科学：数学》2023年第9期1213-1226,共14页元浩翁立夫周焕松; 国家自然科学基金(批准号:11931012和11871387)资助项目。; 本文研究二维空间R2上一类含有Chern-Simons型非局部项且具有p−1(2; 关键词：椭圆型偏微分方程临界点山路引理 Chern-Simons-Schrödinger方程 Ekeland变分引理

一类Kirchhoff-Choquard方程基态解的存在性: 《运筹与模糊学》2022年第2期429-443,共15页张凯月罗贤兵; 本文研究一类带有势函数对数非线性项的𝐾𝑖𝑟𝑐ℎℎ𝑜𝑓𝑓 − 𝐶ℎ𝑜𝑞𝑢𝑎𝑟𝑑方程基态解的存在性, 通过𝐸𝑘𝑒𝑙𝑎𝑛𝑑变分方法, 对数𝑆𝑜𝑏𝑜𝑙𝑒𝑣不等式, 𝐻𝑎𝑟𝑑𝑦−𝐿𝑖𝑡𝑡𝑙𝑒𝑤𝑜𝑜𝑑−𝑆𝑜𝑏𝑜𝑙𝑒𝑣 不等式以及对对数非线项的...; 关键词：Kirchhoff-Choquard方程 Ekeland变分方法对数SOBOLEV不等式 Hardy-Littlewood-Sobolev不等式基态解

带有终端限制的平均场正倒向随机时滞控制系统的最大值原理以及在平均场对策中的应用: 《数学年刊（A辑）》2020年第3期331-356,共26页郝涛; 国家自然科学基金(No.71671104,No.11871309,No.11801315,No.11801317,No.71803097);教育部人文社会科学项目(No.16YJA910003);山东省自然科学基金(No.ZR2018QA001,No.ZR2019MA013);山东省高等学校科技计划项目(No.J17KA162,No.J17KA163);山东财经大学金融统计和风险管理团队,山东省高等学校青创科技计划(No.2019KJI011)的资助; 研究带有时滞和终端状态限制的平均场正倒向随机控制系统的一个最优控制问题.驱动系统的系数依赖于解、解的时滞以及它们的分布.利用Lions导数,终端扰动方法以及Ekeland变分原则,得到了两种随机最大值原理.通过研究一个线性二次问题和...; 关键词：平均场正倒向时滞控制系统随机最大值原理终端扰动方法 Ekeland变分平均场对策

GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM被引量：1: 《Acta Mathematica Scientia》2019年第5期1451-1460,共10页Lixia WANG Xiaoming WANG Luyu ZHANG; partially supported by the National Natural Science Foundation of China(11801400,11571187);partially supported by the National Natural Science Foundation of China(11861053);the Postdoctoral Science Foundation of China(2017M611159); In this article,we study the following Klein-Gordon-Maxwell system involving critical exponent■where λ and w are two positive constants.We found the existence of positive ground state solutions(that is,for solutions...; 关键词：ground state solution Klein-Gordon-Maxwell system Ekeland's VARIATIONAL principle MOUNTAIN PASS theorem

VECTORIAL EKELAND VARIATIONAL PRINCIPLE AND CYCLICALLY ANTIMONOTONE EQUILIBRIUM PROBLEMS被引量：1: 《Acta Mathematica Scientia》2019年第2期524-544,共21页Jinghui QIU; supported by the National Natural Science Foundation of China(11471236,11561049); In this article, we extend the cyclic antimonotonicity from scalar bifunctions to vector bifunctions. We find out a cyclically antimonotone vector bifunction can be regarded as a family of cyclically antimonotone scal...; 关键词：EQUILIBRIUM problem: cyclic antimonotonicity vectorial EKELAND VARIATIONAL principle sequentially COMPACT TOPOLOGICAL SPACE countably COMPACT TOPOLOGICAL SPACE

A Revised Pre-Order Principle and Set-Valued Ekeland Variational Principles with Generalized Distances: 《Acta Mathematica Sinica,English Series》2017年第6期775-792,共18页Jing Hui QIU; Supported by National Natural Science Foundation of China(Grant Nos.11471236 and 11561049); In my former paper ＂A pre-order principle and set-valued Ekeland variational principle＂（see [J. Math. Anal. Applo, 419, 904 937 （2014）]）, we established a general pre-order principle. From the pre-order princip...; 关键词：Pre-order principle Ekeland variational principle set-valued map perturbation locallyconvex space vector optimization

The near-optimal maximum principle of impulse control for stochastic recursive system被引量：2: 《Science China(Information Sciences)》2016年第11期88-101,共14页Jianhui HUANG Detao ZHANG; supported by RGC Earmarked (Grant Nos. 501010, 502412);National Natural Science Foundation of China (Grant No. 11401345); Here, we discuss the near-optimality for a class of stochastic impulse control problems. The state process in our problem is given by forward-backward stochastic differential equations （FBSDEs） with two control comp...; 关键词：Ekeland＇s principle FBSDE impulse control maximum principle near optimality.

带有Fractional Brownian Motion和Markovian调制的随机资产积累的最优逼近控制: 《成都大学学报（自然科学版）》2015年第4期357-363,共7页崔世崇; 给出了一类带有分数布朗运动(Fractional Brownian Motion,FBM)和马尔科夫过程(Markov Process,MP)的随机资产积累模型,讨论了该系统的最优逼近控制存在的问题,得到了相应的伴随方程哈密顿函数.应用Ekeland变分原理、Ito's公式及常用不...; 关键词：FRACTIONAL BROWNIAN Motion MARKOV Process 最优逼近控制最大值原理 Ekeland变分 Ito's公式

Sequentially Lower Complete Spaces and Ekeland's Variational Principle被引量：3: 《Acta Mathematica Sinica,English Series》2015年第8期1289-1302,共14页Fei HE Jing-Hui QIU; Supported by National Natural Science Foundation of China(Grant No.11471236); By using sequentially lower complete spaces（see [Zhu, J., Wei, L., Zhu, C. C.： Caristi type coincidence point theorem in topological spaces. J. Applied Math., 2013, ID 902692（2013）]）, we give a new version of vec...; 关键词：Vectorial Ekeland variational principle vectorial Caristi＇s fixed point theorem vectorial Takahashi＇s non-convex minimization th

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