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...
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 ...
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...
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...
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...
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...
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...
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...
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...
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...