PIECEWISE

作品数:318被引量:354H指数:7
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相关领域:自动化与计算机技术理学更多>>
相关作者:刘敏王旭黄博许雪峰廖斌更多>>
相关机构:重庆交通大学南京理工大学成都东软信息技术学院湖北大学更多>>
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ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS
《Acta Mathematica Scientia》2024年第4期1524-1535,共12页Maoan HAN Yan YE 
supported by the NSFC(11931016)。
In this paper,we address the stability of periodic solutions of piecewise smooth periodic differential equations.By studying the Poincarémap,we give a sufficient condition to judge the stability of a periodic solutio...
关键词:periodic solution Poincarémap periodic equation stability 
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 
ASYMPTOTICAL STABILITY OF NEUTRAL REACTION-DIFFUSION EQUATIONS WITH PCAS AND THEIR FINITE ELEMENT METHODS
《Acta Mathematica Scientia》2023年第4期1865-1880,共16页韩豪 张诚坚 
the NSFC(11971010)。
This paper focuses on the analytical and numerical asymptotical stability of neutral reaction-diffusion equations with piecewise continuous arguments.First,for the analytical solutions of the equations,we derive their...
关键词:neutral reaction-diffusion equations piecewise continuous arguments asymptotical stability finite element methods numerical experiment 
HIGH-ORDER NUMERICAL METHOD FOR SOLVING A SPACE DISTRIBUTED-ORDER TIME-FRACTIONAL DIFFUSION EQUATION
《Acta Mathematica Scientia》2021年第3期801-826,共26页Jing LI Yingying YANG Yingjun JIANG Libo FENG Boling GUO 
supported by the Natural and Science Foundation Council of China(11771059);Hunan Provincial Natural Science Foundation of China(2018JJ3519);Scientific Research Project of Hunan Provincial office of Education(20A022)。
This article proposes a high-order numerical method for a space distributed-order time-fractional diffusion equation.First,we use the mid-point quadrature rule to transform the space distributed-order term into multi-...
关键词:Space distributed-order equation time-fractional diffusion equation piecewise-quadratic polynomials finite volume method stability and convergence 
DEVIATION OF THE ERROR ESTIMATION FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
《Acta Mathematica Scientia》2018年第4期1322-1344,共23页Mohammad ZAREBNIA Reza PARVAZ Amir SABOOR BAGHERZADEH 
In this paper, we study an efficient asymptotically correction of a-posteriori er- ror estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. T...
关键词:Volterra integro-differential defect correction principle piecewise polynomial COLLOCATION finite difference error analysis 
ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS被引量:1
《Acta Mathematica Scientia》2018年第1期220-236,共17页Kuo-Shou CHIU 
supported by FGI 05-16 DIUMCE
In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of...
关键词:piecewise constant argument of generalized type hybrid equations EQUIVALENCE asymptotic behavior Gronwall's inequality 
PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS
《Acta Mathematica Scientia》2016年第5期1492-1508,共17页刘玉记 
Supported by the Natural Science Foundation of Guangdong Province (S2011010001900);the Guangdong Higher Education Foundation for High-Level Talents
Results on the existence of piecewise continuous solutions for two classes of initial value problems of impulsive singular fractional differential equations are obtained.
关键词:singular fractional differential equation impulsive effect piecewise continuous solution fixed point theorem 
INVERSE SCATTERING BY AN INHOMOGENEOUS PENETRABLE OBSTACLE IN A PIECEWISE HOMOGENEOUS MEDIUM被引量:1
《Acta Mathematica Scientia》2012年第4期1281-1297,共17页刘晓东 张波 
the first author (XL) was supported by the China Postdoctoral Science Foundation (20100480494);the NSF of China (11101412);K.C. Wong Education Foundation, Hong Kong;the second author (BZ) was supported by the NSF of China (11071244,11161130002)
This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is fir...
关键词:UNIQUENESS piecewise homogeneous medium penetrable obstacle uniquecontinuation principle Holmgren's uniqueness theorem inverse scattering 
DECAY OF POSITIVE WAVES OF HYPERBOLIC BALANCE LAWS
《Acta Mathematica Scientia》2012年第1期352-366,共15页Cleopatra Christoforou Konstantina Trivisa 
supported by the Start-Up fund from University of Cyprus;supported by the National Science Foundation under the grant DMS 1109397
Historically, decay rates have been used to provide quantitative and quali- tative information on the solutions to hyperbolic conservation laws. Quantitative results include the establishment of convergence rates for ...
关键词:hyperbolic conservation law total variation interaction potential Glimmfunctional spreading of rarefaction wave piecewise genuinely nonlinear nonclassical solution 
REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA
《Acta Mathematica Scientia》2009年第3期613-628,共16页王靖华 
supported by National Natural Foundation of China(10671116 and 10871133)
We prove that for a given strictly increasing initial datum in Ck, the solution of the initial value problem is piecewise Ck smooth except for flux functions of nonconvex conservation laws in a certain subset of C^k+...
关键词:piecewise smooth solutions noncovex conservation laws a set of first category 
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