Supported by The Innovation Fund of Postgraduate,Sichuan University of Science&Engineering(Y2024336);NSF of Sichuan Province(2023NSFSC0065).
In this paper,we study asymptotic power series of the composition f(x)=h(g(x)),where g(x)=∑_(n=0)^(∞)b_(n)x^(-n),b_(n)∈R,and h is a given elementary function.The asymptotic expansions have been obtained for the com...
The asymptotic analysis theory is a powerful mathematical tool employed in the study of complex systems.By exploring the behavior of mathematical models in the limit as certain parameters tend toward infinity or zero,...
In this paper,the existence,uniqueness,asymptotic and global exponential stability of pseudo almost automorphic solution for a class of delayed Lasota-Wazewska model with impulsive effects are established by applying ...
Supported by the National Natural Science Foundation of China (Grant No. 12271472)。
Single-index model offers the greater flexibility of modelling than generalized linear models and also retains the interpretability of the model to some extent. Although many standard approaches such as kernels or pen...
supported by the National Natural Science Foundation of China(Grant No.11671145);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000).
In this paper,large deviations principle(LDP)and moderate deviations principle(MDP)of record numbers in random walks are studied under certain conditions.The results show that the rate functions of LDP and MDP are dif...
Project supported by the National Natural Science Foundation of China (Grant Nos. 12101572 and 12371256);2024 Shanxi Province Graduate Innovation Project (Grant No. 2024KY615);the Fundamental Research Program of Shanxi Province of China (Grant No. 202403021211002)。
The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equations...
Abstract Let K be a given positive function on a bounded domain Ω of R^(n),n≥3.The authors consider a nonlinear variational problem of the form:-Δu=K|u|^(4/n-2)u in Ω with mixed Dirichlet-Neumann boundary conditio...
Weidong Liu was supported by National Natural Science Foundation of China(Grant No.11825104);Qi-Man Shao was supported by National Natural Science Foundation of China(Grant No.12031005);Shenzhen Outstanding Talents Training Fund of China.
In a one-way analysis-of-variance(ANOVA) model,the number of pairwise comparisons can become large even with a moderate number of groups.Motivated by this,we consider a regime with a growing number of groups and prove...
supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144,and 12235007;the K.C.Wong Magna Fund at Ningbo University;the Scientific Research Innovation Project of Lingnan Normal University(Grant No.LT2401)。
The fifth-order Kd V equation with a perturbation term is naturally consistent with the shallow-water wave model.In this study,the leading-order asymptotic solution of the perturbed fifth-order Kd V equation was deriv...
Singh, Gewali, and Khatiwada proposed a skewness measure for probability distributions called Area Skewness (AS), which has desirable properties but has not been widely applied in practice. One reason for this may be ...