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BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u″=|u|~p 被引量:2
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作者 李明融 《Acta Mathematica Scientia》 SCIE CSCD 2007年第4期703-734,共32页
In this article the author works with the ordinary differential equation u" = |u|^p for some p 〉 0 and obtains some interesting phenomena concerning blow-up, blow-up rate, life-span, stability, instability, zeros ... In this article the author works with the ordinary differential equation u" = |u|^p for some p 〉 0 and obtains some interesting phenomena concerning blow-up, blow-up rate, life-span, stability, instability, zeros and critical points of solutions to this equation. 展开更多
关键词 estimate life-span blow-up blow-up rate STABILITY
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A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION 被引量:2
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作者 Pai Jente Chang Yueloong Chiu Sumiao 《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1749-1764,共16页
In this paper we work with the ordinary diffential equation u′′ u3 = 0 and obtain some interesting phenomena concerning blow-up, blow-up rate, life-spann, zeros and critical points of solutions to this equation.
关键词 estimate life-span blow-up blow-up rate performance competitive ability
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A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION FOR SOME ENTERPRISES 被引量:1
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作者 张裕隆 李明融 《Acta Mathematica Scientia》 SCIE CSCD 2015年第5期1014-1022,共9页
In this paper, we work with the ordinary differential equation n^2u (n)" = u(n)^p and obtain some interesting phenomena concerning, boundedness, blow-up, blow-up rate, life-span of solutions to those equations.
关键词 estimate life-span blow-up blow-up rate performance competitive ability
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A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION (Ⅱ)
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作者 Meng-Rong LI Yue-Loong CHANG Yu-Tso LI 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1127-1140,共14页
In this paper we work with the ordinary equation u'' - u2 (u + ) = 0 and ob- tain some interesting phenomena concerning, blow-up, blow-up rate, life-span of solutions to those equations.
关键词 estimate life-span blow-up blow-up rate performance competitive ability
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MATHEMATICAL MODEL FOR THE ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION u〞-n^(-q-1)u(n)~q=0
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作者 Yue-Loong CHANC Meng-Rong LI +3 位作者 C. Jack YUE Yong-Shiuan LEE Tsung-Jui CHIANG-LIN 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1311-1321,共11页
In this article, we work with the ordinary equation u″-n-q-1u(n)q=0 and learn some interesting phenomena concerning the blow-up and the blow-up rate of solution to the equation.
关键词 estimate life-span blow-up blow-up rate competitive ability performance
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GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS
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作者 刘其林 谢春红 陈松林 《Acta Mathematica Scientia》 SCIE CSCD 2004年第2期259-264,共6页
In this paper, the global blowup properties of solutions for a class of nonlinear non-local reaction-diffusion problems are investigated by the methods of the prior estimates. Moreover, the blowup rate estimate of the... In this paper, the global blowup properties of solutions for a class of nonlinear non-local reaction-diffusion problems are investigated by the methods of the prior estimates. Moreover, the blowup rate estimate of the solution is given. 展开更多
关键词 Non-local reaction-diffusion equation blow-up rate a priori estimate
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一类半线性抛物型方程组解的爆破速率估计
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作者 刘艳霞 张欣 +3 位作者 杨云飞 谢瑞军 吕晓娜 吴文英 《数学的实践与认识》 CSCD 北大核心 2013年第4期221-224,共4页
考虑一类带有齐次Dirichlet边界条件且反应项分别为指数形式和幂函数形式的半线性抛物型方程组,利用比较原理得到了方程解爆破的充分条件,由数学分析原理和最大值原理得到了爆破解的爆破速率估计.
关键词 半线性抛物型方程组 有限时刻爆破 爆破速率估计
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半线性抛物型方程组解的整体存在性与爆破速率估计 被引量:3
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作者 容跃堂 贾悦利 《纯粹数学与应用数学》 CSCD 北大核心 2007年第4期433-438,共6页
研究了具有非线性热源的半线性抛物型方程组的齐次neumann问题解的爆破性质.利用上下解方法得到了解整体存在的条件与爆破条件,并利用Friedmann-Mcleod方法建立了爆破速率估计.
关键词 半线性抛物型方程组 整体解 爆破 爆破速率估计
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一类局部反应扩散方程组的爆破速率 被引量:1
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作者 王术 楚斌 郭峰 《河南大学学报(自然科学版)》 CAS 1999年第2期15-20,共6页
考虑一类局部反应扩散方程组的爆破速率估计.在适当的假设下。
关键词 反应扩散方程 爆破速率 精确估计
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半线性抛物型方程组解的爆破条件及爆破速率 被引量:2
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作者 薛应珍 容跃堂 王文海 《纺织高校基础科学学报》 CAS 2006年第4期337-340,共4页
研究了带有齐次Dirichlet边界条件,反应项为非线性局部化热源的半线性抛物型方程组正解的爆破条件及爆破速率问题.首先,利用Souplet方法得到了方程组中两个分量同时爆破的必要条件和一个充分条件,然后,在此基础上建立了解的一致爆破速... 研究了带有齐次Dirichlet边界条件,反应项为非线性局部化热源的半线性抛物型方程组正解的爆破条件及爆破速率问题.首先,利用Souplet方法得到了方程组中两个分量同时爆破的必要条件和一个充分条件,然后,在此基础上建立了解的一致爆破速率估计.最后,通过验证得到Souplet方法在这类方程中是十分有效的. 展开更多
关键词 抛物型方程组 非线性局部热源 同时爆破 爆破速率估计
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