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PERTURBED: 作品数：357被引量：406H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：张祥林武忠汪志鸣鲁世平杨光红更多>>; 相关机构：安徽师范大学南开大学东北大学华东师范大学更多>>; 相关期刊：更多>>; 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国家教育部博士点基金更多>>

A GENERAL AVERAGING METHOD FOR AFFINE PERIODIC SOLUTIONS: 《Acta Mathematica Scientia》2024年第6期2207-2224,共18页Xue YANG Jiamin XING Yong LI; supported by the National Natural Science Foundation of China(12371191;12071175);supported by the NSFC(12071175;11901080);supported by the NSFC(12071175);the Fundamental Research Funds For the Central Universities(2412023YQ003);the Natural Science Foundation of Jilin Province(20200201253JC)。; We consider the persistence of affine periodic solutions for perturbed affine periodic systems.Such(Q,T)-affine periodic solutions have the form x(t+T)=Qx(t)for all t∈R,where T>0 is fixed and Q is a nonsingular matri...; 关键词：affine-periodic solution perturbed system Brouwer degree averaging method

THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS: 《Acta Mathematica Scientia》2024年第2期515-531,共17页傅钲淇黎雄; supported by the NSFC(12371158).; This paper is mainly about the spectral properties of a class of Jacobi operators(H_(c,b)u)(n)=c_(n)u(n+1)+c_(n-1)u(n-1)+b_(n)u(n),.where∣c_(n)−1∣=O(n^(−α))and b_(n)=O(n^(−1)).We will show that,forα≥1,the singula...; 关键词：Jacobi operator singular continuous spectrum Prüfer variables

POSITIVE SOLUTIONS FOR A KIRCHHOFF EQUATION WITH PERTURBED SOURCE TERMS: 《Acta Mathematica Scientia》2022年第5期1817-1830,共14页Narimane AISSAOUI Wei LONG; supported by NSF of China(11871253);supported by Jiangxi Provincial Natural Science Foundation(20212ACB201003);Jiangxi Two Thousand Talents Program(jxsq2019101001);Double-high talents in Jiangxi Province and Jiangxi Provincial Department of Education Fund(GJJ191687).; This paper deals with the existence of positive solutions to the following nonlinear Kirchhoff equation with perturbed external source terms:{−(a+b∫_(R^(3))|∇u|^(2)dx)Δu+V(x)u=Q(x)u^(p)+εf(x),u>0,x∈R^(3),u∈H^(1)(...; 关键词：nonlinear Kirchhoff problem Lyapunov-Schmidt reduction positive solutions level set

GLOBAL SOLUTIONS OF THE PERTURBED RIEMANN PROBLEM FOR THE CHROMATOGRAPHY EQUATIONS被引量：1: 《Acta Mathematica Scientia》2019年第1期57-82,共26页Ting ZHANG Wancheng SHENG; Supported by NSFC(11371240 and 11771274);the grant of "The First-Class Discipline of Universities in Shanghai"; The Riemann problem for the chromatography equations in a conservative form is considered. The global solution is obtained under the assumptions that the initial data are taken to be three piecewise constant states. T...; 关键词：RIEMANN problem CHROMATOGRAPHY equation wave interactions TEMPLE class hyperbolic conservation LAWS

LARGE TIME BEHAVIOR OF SOLUTIONS TO THE PERTURBED HASEGAWA-MIMA EQUATION: 《Acta Mathematica Scientia》2017年第6期1775-1790,共16页王利娟; supported by the National Natural Science Foundation of China(11231006); The large time behavior of solutions to the two-dimensional perturbed Hasegawa- Mima equation with large initial data is studied in this paper. Based on the time-frequency decomposition and the method of Green functio...; 关键词：perturbed Hasegawa-Mima equation Green function time-frequency decom-position pointwise estimates.

HARMONIC OSCILLATORS AT RESONANCE,PERTURBED BY A NON-LINEAR FRICTION FORCE: 《Acta Mathematica Scientia》2014年第4期1025-1028,共4页Philip KORMAN Yi LI; This note is an addendum to the results of Lazer and Frederickson [1], and Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more ge...; 关键词：RESONANCE existence of periodic solutions

INTERPOLATION SOLUTION TO A BOUNDARY VALUE PROBLEM OF HARMONIC FIELD被引量：2: 《Acta Mathematica Scientia》2013年第2期321-332,共12页涂天亮莫炯; supported by NSF of Henan Province P. R. China(974050900); This article is a improvement on author＇s early work （Acta Mathematica Scientia, Vol.30 No.2 Ser.A 2010）. In this article, there are two new contributions： 1） The restrictive conditions on approximation domain bo...; 关键词：Harmonic interpolation approximation perturbed Fej6r points stable order ofapproximate boundary restriction condition

GENERAL DECAY FOR A QUASILINEAR SYSTEM OF VISCOELASTIC EQUATIONS WITH NONLINEAR DAMPING被引量：2: 《Acta Mathematica Scientia》2012年第4期1321-1332,共12页Jong Yeoul Park Sun Hye Park; supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education,Science and Technology (2011-0007870); In this paper, we consider a system of coupled quasilinear viscoelastic equa- tions with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which ext...; 关键词：general decay coupled quasilinear equations viscoelastic equations perturbed energy method

PERTURBED PERIODIC SOLUTIONFOR BOUSSINESQ EQUATION: 《Acta Mathematica Scientia》2009年第3期705-722,共18页江新华王振; supported by National Natural Science Foundation of China(10871199); We consider the solution of the good Boussinesq equation Utt -Uxx ＋ Uxxxx = （U2）xx, -∞ 〈 x 〈 ∞, t ≥ 0, with periodic initial value U（x, 0） = ε（μ ＋ φ（x））, Ut（x, 0） = εψ（x）, -∞ 〈 x 〈 ∞, where...; 关键词：Boussinesq equation periodic solution Backlund transformation global existence uniform asymptotic expansion

BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE被引量：1: 《Acta Mathematica Scientia》2009年第1期11-24,共14页尚德生张同华; Surported by the Foundation of Shandong University of Technology (2006KJM01); In this article, using multi-parameter perturbation theory and qualitative analysis, the authors studied a kind of cubic system perturbed by degree five and ob-tained the system that can have 17 limit cycles giving th...; 关键词：PERTURBATION singular point value homoclinic loop limit cycle

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