THIRD-ORDER

作品数:222被引量:342H指数:8
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相关领域:理学机械工程更多>>
相关作者:姚庆六何捷唐长文闵昊洪志良更多>>
相关机构:南京财经大学扬州师范学院复旦大学东北师范大学更多>>
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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广东省自然科学基金更多>>
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INEQUALITIES FOR THE CUBIC PARTITIONS AND CUBIC PARTITION PAIRS
《Acta Mathematica Scientia》2025年第2期737-754,共18页Chong LI Yi PENG Helen W.J.ZHANG 
supported by the National Natural Science Foundation of China(12371327);the Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0107).
In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).A...
关键词:asymptotic formula LOG-CONCAVITY third-order Turan inequalities cubic partition cubic partition pair 
Direct and Inverse Problems for a Third-order Differential Operator with Anti-periodic Boundary Conditions and a Non-local Potential
《数学理论与应用》2025年第1期62-80,共19页ZHANG Mingming LIU Yixuan 
supported by the Tianjin Municipal Science and Technology Program of China(No.23JCZDJC00070)。
This paper focuses on the direct and inverse problems for a third-order self-adjoint differential operator with non-local potential and anti-periodic boundary conditions.Firstly,we obtain the expressions for the chara...
关键词:Direct problem Inverse problem Non-local potential Anti-periodic boundary condition 
Tank-level robust control of LNG carrier based on hyperbolic tangent function nonlinear modification
《Transportation Safety and Environment》2024年第4期68-74,共7页Zongkuo Li Xianku Zhang Junpeng Huang 
supported by the National Science Foundation of China(Grant No.51679024);Dalian Innovation Team Support Plan in the Key Research Field(Grant No.2020RT08);Doctoral Research Initial Fund Project of Liaoning Province(Grant No.2021-BS-078);Dalian Maritime University University-level Team"Open Ranking"Project(Grant No.3132023502).
The objective of this study was to achieve a better control effect of the controller on the liquid level of the liquefied natural gas(LNG)carrier and to achieve the goal of energy saving and carbon reduction.This pape...
关键词:LNG carrier liquid level control third-order closed-loop gain-shaping algorithm nonlinear modification hyperbolic tangent function energy saving carbon reduction 
Blind radar signal separation algorithm based on third-order degree of cyclostationarity criteria
《Journal of Systems Engineering and Electronics》2024年第6期1441-1453,共13页FAN Xiangyu LIU Bin DONG Danna CHEN You WANG Yuancheng 
supported by the National Natural Science Foundation of China(61502522).
Separation and recognition of radar signals is the key function of modern radar reconnaissance,which is of great sig-nificance for electronic countermeasures and anti-countermea-sures.In order to improve the ability o...
关键词:blind signal separation cyclostationary frequency Givens matrix degree of cyclostationarity(DCS)blind source separation algorithm 
Bending and Vibration Analysis of Trigonometric Varying Functionally Graded Material via a Novel Third-Order Shear Deformation Theory
《Acta Mechanica Solida Sinica》2024年第6期919-931,共13页Fei Chen Xiaofei Zhao Zhifeng Huang Jun Lei Chi Zhang Pin Wen 
supported by the Guangdong Major Project of Basic and Applied Basic Research(2021B0301030001);the National Key Research and Development Program of China(2021YFA0716304);the project supported by the Space Utilization System of China Manned Space Engineering(KJZ-YY-WCL03);the National Key Laboratory Foundation of Science and Technology on Materials under Shock and Impact(6142902210109);Independent Innovation Projects of the Hubei Longzhong Laboratory(2022ZZ-32);the National Natural Science Foundation of China(Nos.11902232,51972246,and 51521001).
Given the significant potential of multi-directional functionally graded materials(MFGMs)for customizable performance,it is crucial to develop versatile material models to enhance design optimization in engineering ap...
关键词:Functionally graded material Third-order shear deformation theory Isogeometric analysis Cutout plate 
Third-order nonlinear wavelength conversion in chalcogenide glass waveguides towards mid-infrared photonics
《Chinese Physics B》2024年第10期269-274,共6页Fengbo Han Jiaxin Gu Lu Huang Hang Wang Yali Huang Xuecheng Zhou Shaoliang Yu Zhengqian Luo Zhipeng Dong Qingyang Du 
supported by the National Natural Science Foundation of China(Grant Nos.62105272 and 62305304);the Natural Science Foundation of Fujian Province,China(Grant Nos.2022J06016 and 2021J05016);the National Key Research and Development Program of China(Grant No.2021ZD0109904);the Key Research Project of Zhejiang Laboratory(Grant No.2022PH0AC03);the Fundamental Research Funds for the Central Universities(Grant No.20720220109).
The increasing demand in spectroscopy and sensing calls for infrared(mid-IR)light sources.Here,we theoretically investigate nonlinear wavelength conversion of Ge_(28)Sb_(12)Se_(60)chalcogenide glass waveguide in the m...
关键词:chalcogenide glass Raman soliton self-frequency shift SUPERCONTINUUM soliton Kerr comb 
Broadband third-order optical nonlinearities of layered franckeite towards mid-infrared regime
《Chinese Physics B》2024年第10期275-281,共7页Zhi-Qiang Xu Tian-Tian Zhou Jie Li Dong-Yang Liu Yuan He Ning Li Xiao Liu Li-Li Miao Chu-Jun Zhao Shuang-Chun Wen 
supported by the National Natural Science Foundation of China(Grant No.61975055);the Natural Science Foundation of Hunan Province,China(Grant No.2023JJ30165);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2022QF005);the Doctoral Fund of University of Heze(Grant No.XY22BS14).
The study of nonlinear optical responses in the mid-infrared(mid-IR)regime is essential for advancing ultrafast mid-IR laser applications.However,nonlinear optical effects under mid-IR excitation are rarely reported d...
关键词:third-order optical nonlinearities franckeite MID-INFRARED Q-SWITCHING 
Layerwise third-order shear deformation theory with transverse shear stress continuity for piezolaminated plates
《Chinese Journal of Aeronautics》2024年第9期490-505,共16页Yingshan GAO Shunqi ZHANG Wei HU Songyun MA Bernd MARKERT 
support from the National Natural Science Foundation of China (No.11972020);the Natural Science Foundation of Shanghai,China (No.21ZR1424100).
Regarding laminated structures,an electromechanically coupled Finite Element(FE)model based on Layerwise Third-Order Shear Deformation(LW-TOSD)theory is proposed for sta-tic and dynamic analysis.LW-TOSD ensures the co...
关键词:Laminated structures Piezolaminated structures Third-order shear deformation theory Shear stress continuity Electromechanically coupled 
Thermodynamic phase transition and winding number for the third-order Lovelock black hole
《Chinese Physics C》2024年第9期188-198,共11页Yu-Shan Wang Zhen-Ming Xu Bin Wu 
Supported by the National Natural Science Foundation of China (12105222, 12275216, 12247103)。
Phase transition is important for understanding the nature and evolution of the black hole thermodynamic system.In this study,we predicted the phase transition of the third-order Lovelock black hole using the winding ...
关键词:black hole thermodynamics Lovelock black hole phase transition 
THE ASYMPTOTIC BEHAVIOR AND OSCILLATION FOR A CLASS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS
《Acta Mathematica Scientia》2024年第3期925-946,共22页黄先勇 邓勋环 王其如 
supported by the National Natural Science Foundation of China(12071491,12001113)。
In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existe...
关键词:nonlinear delay dynamic equations NONOSCILLATION asymptotic behavior Philostype oscillation criteria generalized Riccati transformation 
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