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作品数：101被引量：81H指数：4
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The Hyers-Ulam Stability and Hyers-Ulam Instability for Some Nonhomogeneous Ordinary Differential Equations
《Chinese Quarterly Journal of Mathematics》2024年第4期420-430,共11页DENG Jing-tao 
Supported by Natural Science Research Projects of Liaoning Province Education Department(Grant No.LJ212410146024).
In this paper,we get a necessary and sufficient condition such that a class of differential inequalities hold.Using this necessary and sufficient condition,we prove that a class of first order nonhomogeneous ordinary ...
关键词：Hyers-Ulam stability Hyers-Ulam instability Ordinary differential equations Necessary and sufficient condition 
Theoretically Expected Phase Portrait of an Initial Value Problem with Periodic Piecewise Continuous Functions
《International Journal of Modern Nonlinear Theory and Application》2024年第3期29-44,共16页Hugo Ramón Olmedo Mareco 
This work predicts theoretically the phase portrait including the existence and uniqueness of ω-limit cycle for an initial value problem y(0)=y0with an ordinary differential equation y′+py=fin which p and f are L-pe...
关键词：Ordinary Linear Nonhomogeneous Differential Equation One-Sided Limits 
Toward Improved Accuracy in Quasi-Static Elastography Using Deep Learning
《Computer Modeling in Engineering & Sciences》2024年第4期911-935,共25页Yue Mei Jianwei Deng Dongmei Zhao Changjiang Xiao Tianhang Wang Li Dong Xuefeng Zhu 
National Natural Science Foundation of China (12002075);National Key Research and Development Project (2021YFB3300601);Natural Science Foundation of Liaoning Province in China (2021-MS-128).
Elastography is a non-invasive medical imaging technique to map the spatial variation of elastic properties of soft tissues.The quality of reconstruction results in elastography is highly sensitive to the noise induce...
关键词：Nonhomogeneous elastic property distribution reconstruction deep learning finite element method inverse problem ELASTOGRAPHY conditional generative adversarial network 
Resonant-Superlinear Nonhomogeneous Dirichlet Problems
《Acta Mathematica Sinica,English Series》2023年第11期2091-2116,共26页Zhen Hai LIU Nikolaos S.PAPAGEORGIOU 
NNSF of China(Grant No.12071413);NSF of Guangxi(Grant No.2023GXNSFAA026085);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。
We consider a Dirichlet nonlinear equation driven by the(p,2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric superlinear term and a resonant perturbation.We show that for all sma...
关键词：Asymmetric reaction resonance superlinear term nonlinear regularity comparison principle critical groups solutions with sign information 
A REMARK ON LARGE TIME ASYMTOTICS FOR SOLUTIONS OF A NONHOMOGENEOUS VISCOUS BURGERS EQUATION
《Acta Mathematica Scientia》2023年第3期1323-1332,共10页Manas Ranjan SAHOO Satyanarayana ENGU Smriti TIWARI 
S.Engu was supported by Council of Scientific and Industrial Research,India (File no. 25 (0302)/19/EMR-Ⅱ)。
The existence, uniqueness and regularity of solutions to the Cauchy problem posed for a nonhomogeneous viscous Burger's equation were shown in Chung, Kim and Slemrod [1] by assuming suitable conditions on initial data...
关键词：modified Bessel functions integral equation large time asymptotics convolution of functions 
本刊英文版Vol.39(2023),No.2论文摘要(英文)
《数学学报（中文版）》2023年第2期I0004-I0006,共3页
Boundary Lipschitz Regularity of Solutions for Semilinear Elliptic Equations in Divergence Form Jing Qi LIANG Li He WANG Chun Qin ZHOU Abstract In this paper,we consider the pointwise boundary Lipschitz regularity of ...
关键词：satis BOUNDARY NONHOMOGENEOUS 
Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion
《Acta Mathematicae Applicatae Sinica》2023年第1期17-27,共11页Gao-wei CAO Hui KAN Wei XIANG Xiao-zhou YANG 
The research of Gaowei Cao was supported in part by the NSFC(Grant 11701551 and Grant 11971024);the China Scholarship Council No.202004910200.The research of Hui Kan was supported in part by the NSFC(Grant 11801551);The research of Wei Xiang was supported in part by the Research Grants Council of the HKSAR,China(Project No.City U 11332916,Project No.City U 11304817 and Project No.City U 11303518);The research of X.Z.Yang was supported in part by the NSFC(Grant 11471332)。
In this paper, we are concerned with the necessary and sufficient condition of the global existence of smooth solutions of the Cauchy problem of the multi-dimensional scalar conservation law with source-term,where the...
关键词：global smooth solution BLOWUP multi-dimensional conservation law solution formula 
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach
《Science China Mathematics》2023年第3期601-626,共26页Mian Huang Yue Huang Weixin Yao 
supported by Shanghai Young Talent Development Program and Innovative Research Team of Shanghai University of Finance and Economics(Grant No.2020110930);supported by the Department of Energy of USA(Grant No.DE-EE0008574)。
In this paper, we propose a new estimation method for a nonparametric hidden Markov model(HMM), in which both the emission model and the transition matrix are nonparametric, and a semiparametric HMM, in which the tran...
关键词：nonparametric HMM nonhomogeneous HMM semiparametric estimate composite likelihood generalized likelihood ratio test 
Fuzzy Filter Design for Affine Systems with Sensor Faults:A Dynamic Event-Triggered Approach
《Journal of Systems Science & Complexity》2022年第5期1761-1784,共24页CHENG Jun WU Yuyan WU Zhengguang LI Kezan 
supported by the National Natural Science Foundation of China under Grant Nos.12161011,62173100;the National Natural Science Foundation of Guangxi Province under Grant Nos.2020GXNSFAA159049 and 2020GXNSFFA297003;the Guangxi Science and Technology Base and Specialized Talents under Grant No.Guike AD20159057;the Innovation Project of Guangxi Graduate Education under Grant No.YCSW2021103;the Training Program for 1,000 Young and Middle-Aged Cadre Teachers in Universities of Guangxi Province。
This study addresses the issue of dynamic event-triggered-based filtering for fuzzy affine systems.To alleviate the utilization of constraint bandwidth resources and improve the efficiency of the signals exchange,a dy...
关键词：Dynamic event-triggered protocol fuzzy affine systems nonhomogeneous Markov process sensor fault 
Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions被引量：1
《Advances in Applied Mathematics and Mechanics》2022年第4期842-870,共29页Quanxiang Wang Liqun Wang Jianqiang Xie 
supported by the National Natural Science Foundation of China Nos.11701283,12171482;the Fundamental Research Funds for the Central Universities No.KJQN201839;Science Foundation of China University of Petroleum(Beijing)No.2462020XKJS02.
In this paper,we propose an immersed finite volume element method for solving the semi-linear elliptic interface problems with non-homogeneous jump conditions.Furthermore,two-grid techniques are used to improve the co...
关键词：Two-grid immersed finite volume element Cartesian mesh SEMI-LINEAR NONHOMOGENEOUS 
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