PERTURBATIONS

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THE NONLINEAR STABILITY OF PLANE PARALLEL SHEAR FLOWS WITH RESPECT TO TILTED PERTURBATIONS
《Acta Mathematica Scientia》2024年第3期1036-1045,共10页许兰喜 关芳芳 
supported by the National Natural Science Foundation of China(21627813)。
The nonlinear stability of plane parallel shear flows with respect to tilted perturbations is studied by energy methods.Tilted perturbation refers to the fact that perturbations form an angleθ∈(0,π/2)with the direc...
关键词：plane parallel shear flows energy method energy functional nonlinear stability Reynolds number 
THE LIMIT CYCLE BIFURCATIONS OF A WHIRLING PENDULUM WITH PIECEWISE SMOOTH PERTURBATIONS
《Acta Mathematica Scientia》2024年第3期1115-1144,共30页杨纪华 
supported by the Natural Science Foundation of Ningxia(2022AAC05044);the National Natural Science Foundation of China(12161069)。
This paper deals with the problem of limit cycles for the whirling pendulum equation x=y,y=sin x(cosx-r)under piecewise smooth perturbations of polynomials of cos x,sin x and y of degree n with the switching line x=0....
关键词：whirling pendulum limit cycle Melnikov function Picard-Fuchs equation Chebyshev system 
GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BéNARD PROBLEM
《Acta Mathematica Scientia》2022年第2期588-610,共23页Xulong QIN Hua QIU Zheng-an YAO 
supported partially by NSFC(11571380,11971497,11871230);Natural Science Foundation of GuangDong Province(2019B151502041);supported partially by NSFC(11126266);Natural Science Foundation of GuangDong Province(2016A030313390);SCAU Fund for High-level University Building;supported partially by NSFC(11971496)。
In this paper,we consider the 3D magnetic Bénard problem.More precisely,we prove that the large solutions are stable under certain conditions.And we obtain the equivalent condition with respect to this stability cond...
关键词：Magnetic Bénard problem large solutions global stability PERTURBATIONS 
LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS
《Acta Mathematica Scientia》2017年第5期1437-1452,共16页Teresa ALVAREZ 
Supported by MICINN(Spain)Grant MTM201345643
A closed linear relation T in a Banach space X is called left(resp. right) Fredholm if it is upper(resp. lower) semi Fredholm and its range(resp. null space) is topologically complemented in X. We say that T is left(r...
关键词：left and right Fredholm linear relations left and right Browder linear relations Riesz perturbations 
MULTIPLICATIVE PERTURBATIONS OF LOCAL α-TIMES INTEGRATED C-SEMIGROUPS被引量：1
《Acta Mathematica Scientia》2017年第3期877-888,共12页Nai-Sher YEH Chung-Cheng KUO 
We establish some left and right multiplicative perturbations of a local α-timesintegrated C-semigroup S（·） on a complex Banach space X with non-densely defined genera- tor, which can be applied to obtain some add...
关键词：Integrated C-semigroup generator abstract Cauchy problem PERTURBATION 
ADDITIVE PERTURBATIONS OF LOCAL C-SEMIGROUPS被引量：1
《Acta Mathematica Scientia》2015年第6期1566-1576,共11页Chung-Cheng KUO 
supported by the National Science Council of Taiwan
In this paper, we apply the contraction mapping theorem to establish some bounded and unbounded additive perturbation theorems concerning local C-semigroups. Some growth conditions of perturbations of local C-semigrou...
关键词：local C-semigroup generator abstract Cauchy problem PERTURBATION 
ANTI-PERIODIC SOLUTIONS FOR DIFFERENTIAL INCLUSIONS IN BANACH SPACES AND THEIR APPLICATIONS被引量：1
《Acta Mathematica Scientia》2012年第4期1426-1434,共9页刘贵方 刘益良 
Project supported by NSF of China (10971019)
We deal with anti-periodic problems for differential inclusions with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions an...
关键词：anti-periodic solutions nonmonotone perturbations differential inclusions hemivariational inequalities 
PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
《Acta Mathematica Scientia》2012年第3期1083-1092,共10页Michael Gil' 
Let P（z） and P（z） be polynomials of the same degree. We consider the equations u＂ = P（z）u and u＂ = P（z）u （z ∈ C） whose solutions are u（z） and u（z）, respectively. Let Zk（U） and zk（u）, k = 1, 2,...,...
关键词：Complex differential equation zeros of solutions perturbation of zeros 
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