一类具有转向点的三阶方程边值问题

莫嘉琪; 温朝晖

doi:10.3879/j.issn.1000-0887.2010.08.010

一类具有转向点的三阶方程边值问题

doi: 10.3879/j.issn.1000-0887.2010.08.010

莫嘉琪^1,2,
温朝晖³

安徽师范大学数学系,安徽芜湖 241000;2.上海高校计算科学E-研究院 SJTU研究所, 上海 200240;3.安徽财经大学统计与应用数学学院应用数学研究所, 安徽蚌埠 233030

基金项目: 国家自然科学基金资助项目(40876010);中国科学院知识创新工程重要方向资助项目(KZCX2-YW-Q03-08);公益性行业(气象)科研专项资助项目(GYHY200806010);LASG国家重点实验室专项经费资助项目;上海市教育委员会E-研究院建设计划资助项目(E03004);浙江省自然科学基金资助项目(Y6090164)

详细信息

作者简介:
莫嘉琪(1937- ),男,浙江德清人,教授(联系人.Tel:+86-553-3869642;E-mail:mojiaqi@mail.ahnu.edu.cn).

中图分类号: O175.14
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-07-02
- 刊出日期: 2010-08-15

A Class of Boundary Value Problems for Third-Order Differential Equation With a Turning Point

MO Jia-qi^1,2,
WEN Zhao-hui³

Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241000, P. R. China;

摘要

摘要: 讨论了一类具有转向点的微分方程边值问题．利用多重尺度等方法，构造了边值问题解一致有效的渐近展开式．
- 转向点 /
- 多重尺度 /
- 边值问题
Abstract: A class of boundary value problem for differential equation with a turning point was considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for the boundary value problem was constructed.
- turning point /
- multiple scales /
- boundary value problem

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参考文献(19)

[1]	de Jager E M, JIANG Fu-ru. The Theory of Singular Perturbation[M]. Amsterdam: North-Holland Publishing Co,1996.
[2]	NI Wei-ming，WEI Jun-cheng. On positive solution concentrating on spheres for the Gierer-Meinhardt system[J]. J Differ Equations, 2006, 221(1): 158-189. doi: 10.1016/j.jde.2005.03.004
[3]	Bartier Jean-Philippe. Global behavior of solutions of a reaction-diffusion equation with gradient absorption in unbounded domains[J]. Asymptotic Anal, 2006, 46(3/4): 325-347.
[4]	Libre J, da Silva P R, Teixeira M A. Regularization of discontinuous vector fields on R3 via singular perturbation[J]. J Dyn Differ Equations, 2007, 19(2): 309-331. doi: 10.1007/s10884-006-9057-7
[5]	Guarguaglini F R, Natalini R. Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena[J]. Commun Partial Differ Equations, 2007, 32(2): 163-189. doi: 10.1080/03605300500361438
[6]	MO Jia-qi, LIN Wan-tao. Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations[J]. J Sys Sci Complexity, 2008, 20(1): 119-128.
[7]	MO Jia-qi, WANG Hui. Nonlinear singularly perturbed approximate solution for generalized Lotke-Volterra ecological model[J]. Acta Ecologica Sinica, 2007, 27(10): 4366-4370.
[8]	莫嘉琪，陈丽华. 一类Landau-Ginzburg-Higgs扰动方程孤子的近似解[J]. 物理学报，2008, 57(8): 4646-4648.
[9]	MO Jia-qi. Variational iteration solving method for a class of generalized Boussinesq equation[J]. Chin Phys Lett, 2009, 26(6): 060202. doi: 10.1088/0256-307X/26/6/060202
[10]	莫嘉琪. 一类广义Sine-Gordon扰动方程的解析解[J]. 物理学报，2009, 58(5): 2930-2933.
[11]	莫嘉琪，程燕. 广义Boussinesq方程的同伦映射近似解[J]. 物理学报，2009, 58(7): 4379-4382.
[12]	MO Jia-qi. Homotopiv mapping solving method for gain fluency of a laser pulse amplifier[J]. Science in China，Ser G, 2009, 52(7): 1007-1070. doi: 10.1007/s11433-009-0146-6
[13]	莫嘉琪, 张伟江, 何铭. 激光脉冲放大器传输波的计算[J]. 物理学报，2006, 55(7): 3233-3236.
[14]	莫嘉琪, 林万涛, 林一骅. 一个赤道太平洋西部边界潜流广义扰动机理的近似解法[J]. 物理学报，2007, 56(6): 3127-3131.
[15]	MO Jia-qi, LIN Wan-tao, WANG Hui. Asymptotic solution of a sea-air oscillator for ENSO mechanism[J]. Chin Phys, 2007, 16(3) 578-581.
[16]	MO Jia-qi, LIN Wan-tao, WANG Hui. Variational iteration solving method of a sea-air oscillator model for the ENSO[J]. Prog Nat Sci, 2007, 17(2): 230-232. doi: 10.1080/10020070612331343252
[17]	MO Jia-qi, LIN Wan-tao, WANG Hui. Singularly perturbed solution of coupled model in atmosphere-ocean for global climate[J]. Chin Geographical Sci, 2008, 18(2): 193-195. doi: 10.1007/s11769-008-0193-3
[18]	MO Jia-qi, LIN Wan-tao. Asymptotic solution for a class of sea-air oscillator model for El-Nino-southern oscillation[J]. Chin Phys, 2008, 17(2): 370-372. doi: 10.1088/1674-1056/17/2/002
[19]	MO Jia-qi, LIN Wan-tao. The homotopic method of travelling wave solution for El Nino tropic sea-air coupled oscillator[J]. Chin Phys, 2008, 17(3): 743-746. doi: 10.1088/1674-1056/17/3/001

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一类具有转向点的三阶方程边值问题

doi: 10.3879/j.issn.1000-0887.2010.08.010

作者简介:
莫嘉琪(1937- ),男,浙江德清人,教授(联系人.Tel:+86-553-3869642;E-mail:mojiaqi@mail.ahnu.edu.cn).

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A Class of Boundary Value Problems for Third-Order Differential Equation With a Turning Point

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留言板

一类具有转向点的三阶方程边值问题

doi: 10.3879/j.issn.1000-0887.2010.08.010

作者简介: 莫嘉琪(1937- ),男,浙江德清人,教授(联系人.Tel:+86-553-3869642;E-mail:mojiaqi@mail.ahnu.edu.cn).

计量

出版历程

A Class of Boundary Value Problems for Third-Order Differential Equation With a Turning Point

计量

出版历程

目录

作者简介:
莫嘉琪(1937- ),男,浙江德清人,教授(联系人.Tel:+86-553-3869642;E-mail:mojiaqi@mail.ahnu.edu.cn).