《Communications in Mathematical Research》

作品数:548被引量:242H指数:6
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《Communications in Mathematical Research》
主办单位:吉林大学
最新期次:2024年4期更多>>
发文主题:GENERALIZEDTYPEEXISTENCESTABILITYOPERATOR更多>>
发文领域:理学自动化与计算机技术电子电信文化科学更多>>
发文基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>
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On Some Cardinal Properties of the Space P_(f)(X) of Probability Measures
《Communications in Mathematical Research》2024年第4期383-399,共17页Shavkat Ayupov Nodirbek Mamadaliev 
In this paper,given a compact space X,we construct a continuous mapping from the space Pf(X) of all probability measures on X into the space of maximal linked systems of closed subsets of X.Also,we investigate the beh...
关键词:Probability measure functional tightness local density normal functor su-perextension. 
Uniqueness of Transonic Shock Solutions to Euler-Poisson System with Varying Background Charges
《Communications in Mathematical Research》2024年第4期400-412,共13页Haoran Zheng Jianqiao Zhang 
In this paper,we investigate a one-dimensional Euler-Poisson sys-tem with varying background charges,which are two different constants when the flow speed is less than and greater than the sound speed.Using the shock ...
关键词:Euler-Poisson system transonic shock solution UNIQUENESS varying back-ground charges. 
A High-Order Meshless Energy-Preserving Algorithm for the Beam Equation
《Communications in Mathematical Research》2024年第4期413-436,共24页Jialing Wang Yali He 
supported by the National Natural Science Foundation of China(Grant No.11801277).
In this paper,a meshless energy-preserving algorithm which can be arbitrarily high-order in temporal direction for the beam equation has been proposed.Based on the method of lines,we first use the radial basis func-ti...
关键词:Beam equation meshless scheme energy-preserving method radial basis function symplectic Runge-Kutta method. 
Eigenvalue Problem for a Class of Quasilinear Elliptic Operators with Mixed Boundary Value Condition in a Variable Exponent Sobolev Space
《Communications in Mathematical Research》2024年第4期437-481,共45页Junichi Aramaki 
In this paper,we consider an eigenvalue problem for a class of non-linear elliptic operators containing p(-)-Laplacian and mean curvature opera-tor with mixed boundary conditions.More precisely,we are concerned with t...
关键词:Eigenvalue problem p(·)-Laplacian type equation mean curvature operator 
The m-CMP Inverse in Minkowski Space
《Communications in Mathematical Research》2024年第4期482-498,共17页Ming-Xue Shao Li-Hua Cheng 
In this paper,a new generalized m-CMP inverse is introduced into the Minkowski space,and its related properties are discussed.Secondly,three different expressions of m-CMP inverse are listed,namely Hartwig-Spindel-boc...
关键词:Minkowski space m-CMP inverse Hartwig-Spindelbock decomposition full-rank factorization integral expression system of linear equations. 
Invariance of Conjugate Normality Under Similarity
《Communications in Mathematical Research》2024年第3期245-260,共16页Cun Wang Meng Yu Minyi Liang 
supported by the National Natural Science Foundation of China (Grant No.12171195).
An operator T on a separable,infinite dimensional,complex Hilbert space H is called conjugate normal if C|T|C=|T^(*)| for some conjugate linear,isometric involution C on H.This paper focuses on the invariance of conju...
关键词:C-normal operators complex symmetric operators SIMILARITY 
The AOR-Base Splitting Modified Fixed Point Iteration for Solving Absolute Value Equations
《Communications in Mathematical Research》2024年第3期261-274,共14页Changfeng Ma Jing Kang 
supported by the National Natural Science Foundation of China (Grant 12371378);by the Natural Science Foundation of Fujian Province (Grant 2023J011127).
Recently,Yu et al.presented a modified fixed point iterative(MFPI)method for solving large sparse absolute value equation(AVE).In this paper,we consider using accelerated overrelaxation(AOR)splitting to develop the mo...
关键词:Absolute value equation modified point iteration convergence analysis numerical experiment 
Stochastic Chebyshev-Picard Iteration Method for Nonlinear Differential Equations with Random Inputs
《Communications in Mathematical Research》2024年第3期275-312,共38页Lingling Ma Yicheng Liu 
supported by the National Natural Science Foundation of China (Grant No.12101217);by the China Postdoctoral Science Foundation (Grant No.2022M713875);by the Natural Science Foundation of Hunan Province (Grant No.2022J40113).
This work presents a stochastic Chebyshev-Picard iteration method to efficiently solve nonlinear differential equations with random inputs.If the nonlinear problem involves uncertainty,we need to characterize the unce...
关键词:Nonlinear ordinary differential equation Chebyshev-Picard iteration me-thod variable-separation method random inputs 
Convergence Analysis of Kernel Learning FBSDE Filter
《Communications in Mathematical Research》2024年第3期313-342,共30页Yunzheng Lyu Feng Bao 
supported by the U.S.National Science Foundation through Project DMS-2142672;by the U.S.Department of Energy,Office of Science,Office of Advanced Scientific Computing Research,Applied Mathematics Program under Grant DE-SC0022297.
Kernel learning forward backward stochastic differential equations(FBSDE)filter is an iterative and adaptive meshfree approach to solve the non-linear filtering problem.It builds from forward backward SDE for Fokker-P...
关键词:Forward backward stochastic differential equations kernel density estima-tion nonlinear filtering problems convergence analysis. 
The General Dabrowski-Sitarz-Zalecki Type Theorem for Odd Dimensional Manifolds with Boundary II
《Communications in Mathematical Research》2024年第3期343-382,共40页Hongfeng Li Yong Wang 
supported by the National Natural Science Foundation of China (Grant No.11771070).
In[T.Wu et al.,arXiv2310.09775,2023],a general Dabrowski-Sitarz-Zalecki type theorem for odd dimensional manifolds with boundary was proved.In this paper,we give the proof of the another general Dabrowski-Sitarz-Zalec...
关键词:Dirac operators spectral Einstein functional Dabrowski-Sitarz-Zalecki type theorems 
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