半线性方程ROBIN问题的角层解(英文) 被引量：21

The Corner Layer Solution of Robin Problem for Semilinear Equation

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摘要本文讨论了一类半线性方程Robin边值问题.利用微分不等式理论,研究了边值问题角层解的存在性和渐近性态. A class of Robin boundary problem for semilinear equation is considered.Under suitable conditions,using theory of differential inequalities the existence and asymptotic behavior of the corner layer solution for boundary value problem are studied.

作者莫嘉琪陈怀军

机构地区安徽师范大学数学系

出处《应用数学》 CSCD 北大核心 2012年第1期1-4,共4页 Mathematica Applicata

基金 Supported by the National Natural Science Foundation of China(40876010,49906013) the Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues of the Chinese Academy of Science(XDA01020304) the Natural Science Foundation of Jiangsu Province(BK20110420) the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2010A128,KJ2010B360)

关键词角层渐近解 ROBIN问题 Corner layer Asymptotic solution Robin problem

分类号 O175.29 [理学—基础数学]

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参考文献5

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二级参考文献51

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共引文献159

1莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
2Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
3Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
4Lihua Chen Dept.of Math.and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian Jiaqi Mo Dept.of Math.,Anhui Normal University,Wuhu 241003,Anhui,Faculty of Science,Huzhou Teacher College,Huzhou 313000,Zhejiang,.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.
5Lihua Chen (Dept. of Math. and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian) Zhaohui Wen (Institute of Applied Math., School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui) Cheng Ouyang (Faculty of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang) Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui).THE CORNER LAYER SOLUTION TO ROBIN PROBLEM FOR REACTION DIFFUSION EQUATION[J].Annals of Differential Equations,2012,28(2):132-136.
6莫嘉琪,林万涛.Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation[J].Chinese Physics B,2008,17(2):370-372. 被引量：39
7林万涛,莫嘉琪.一类全球气候气-海耦合振子机理的近似解析解[J].物理学报,2008,57(5):2633-2637. 被引量：2
8莫嘉琪,陈丽华.具有两参数的椭圆型方程Robin问题解的渐近性态[J].武汉大学学报（理学版）,2008,54(3):255-258. 被引量：4
9陈丽华.两参数的反应扩散方程Robin问题的奇摄动[J].中山大学学报（自然科学版）,2008,47(4):11-14. 被引量：4
10刘树德,莫嘉琪.两参数反应扩散方程解的渐近性态(英文)[J].应用数学,2009,22(1):42-47. 被引量：1

同被引文献83

1莫嘉琪,林万涛,王辉.A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL[J].软件工程师,2009(4). 被引量：24
2MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China,2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China.Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J].Science China(Physics,Mechanics & Astronomy),2009,52(7):1007-1010. 被引量：124
3莫嘉琪,韩祥临,陈松林.THE SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM[J].Acta Mathematica Scientia,2002,22(4):549-556. 被引量：11
4Jia-qi Mo,Wan-tao Lin.A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation[J].Acta Mathematicae Applicatae Sinica,2006,22(1):27-32. 被引量：33
5MO Jiaqi,LIN Wantao,WANG Hui.Variational iteration solving method of a sea-air oscillator model for the ENSO[J].Progress in Natural Science:Materials International,2007,17(2):230-232. 被引量：60
6莫嘉琪,林万涛.Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation[J].Chinese Physics B,2008,17(2):370-372. 被引量：39
7Jiaqi MO,Wantao LIN.ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS[J].Journal of Systems Science & Complexity,2008,21(1):119-128. 被引量：96
8林万涛,莫嘉琪.一类全球气候气-海耦合振子机理的近似解析解[J].物理学报,2008,57(5):2633-2637. 被引量：2
9林万涛,莫嘉琪,张伟江,陈贤峰.激光脉冲放大器增益通量的广义变分迭代解法[J].物理学报,2008,57(8):4641-4645. 被引量：4
10莫嘉琪.Approximate Solution of Homotopic Mapping to Solitary Wave for Generalized Nonlinear KdV System[J].Chinese Physics Letters,2009,26(1):13-16. 被引量：66

引证文献21

1周克浩,姚静荪,秦赵娜.一类奇摄动非线性边值问题的角层现象(英文)[J].应用数学,2013,26(4):881-887. 被引量：5
2史娟荣,莫嘉琪.一类奇摄动分数阶微分方程初值问题的渐近解(英文)[J].南开大学学报（自然科学版）,2015,48(5):60-64. 被引量：1
3史娟荣,林万涛,莫嘉琪.一类非线性晶体界面表面波的渐近解[J].中山大学学报（自然科学版）,2015,54(6):41-45.
4许永红,石兰芳,莫嘉琪.一类广义扰动振子共振机制的同伦映射近似解[J].西北大学学报（自然科学版）,2016,46(1):24-27.
5冯依虎,莫嘉琪.奇摄动分数阶微分方程的渐近解（英文）[J].数学杂志,2016,36(2):239-245. 被引量：8
6欧阳成,林万涛,莫嘉琪.分数阶奇摄动非线性方程的激波层渐近解[J].华中师范大学学报（自然科学版）,2016,50(3):326-330. 被引量：1
7史娟荣,莫嘉琪.一类奇异摄动燃烧模型的渐近解[J].应用数学和力学,2016,37(7):691-698. 被引量：2
8SHI Juanrong,MO Jiaqi.Shock Wave Solution for a Class of Nonlinear Nonlocal Singularly Perturbed Fractional Differential Equation[J].Wuhan University Journal of Natural Sciences,2017,22(1):13-18.
9欧阳成,陈贤峰,莫嘉琪.两参数非线性发展方程的奇摄动尖层解（英文）[J].数学杂志,2017,37(2):247-256.
10石兰芳,莫嘉琪.一类强非线性非自治方程的奇摄动Robin边值问题[J].应用数学,2017,30(2):247-251. 被引量：1

二级引证文献33

1陈雯,姚静荪.一类有转向点的奇摄动非线性边值问题的内层性态[J].高校应用数学学报（A辑）,2014,29(1):17-23. 被引量：1
2杨雪洁,孙国正,陈雯.一个拟线性奇摄动问题的激波解[J].山东大学学报（理学版）,2014,49(4):79-83.
3冯依虎.强非线性波动方程孤子行波解[J].应用数学和力学,2019,40(1):89-96. 被引量：2
4陈雯,姚静荪,孙国正.一个奇摄动微分方程非线性混合边值问题[J].高校应用数学学报（A辑）,2015,30(1):117-126. 被引量：3
5杨雪洁,周有顺.几类具代数或指数衰减的层问题[J].安徽师范大学学报（自然科学版）,2015,38(5):419-426.
6冯依虎,刘树德,莫嘉琪.一类两参数非线性反应扩散方程奇摄动问题的广义解[J].应用数学和力学,2017,38(5):561-569. 被引量：1
7冯依虎,陈怀军,莫嘉琪.激光脉冲放大器增益通量耦合系统解[J].应用数学和力学,2017,38(7):837-844. 被引量：2
8师建国,周厚勇.一个双曲-椭圆耦合系统解的存在唯一性[J].数学杂志,2017,37(6):1253-1260. 被引量：1
9冯依虎,汪维刚,莫嘉琪.一类HIV传播人群的非线性动力学模型[J].吉林大学学报（理学版）,2018,56(4):779-785.
10刘红梅.非线性微分方程的精确求解方法——以Tanh-函数方法为例[J].南阳理工学院学报,2018,10(6):122-128.

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