具有转向点的三阶半线性奇摄动边值问题解的存在性

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基金项目: 国家自然科学基金资助课题

Existence of Solutions for a Singularly Perturbed Boundary Value Problem for the Third Order Semi Linear Differential Equation with a Turning Point

摘要: 本文应用微分不等式技术证明一类具有转向点的三阶半线性奇摄动边值问题解的存在性.
- 转向点 /
- 半线性 /
- 奇摄动
Abstract: In this paper, by using the techniques of differential inequalities, we prove the existence of the solutions of a singularly perturbed boundary value problem for the third order semilinear differential equation with a turning point.
- turning point /
- semi-linear /
- singular perturbation

[1]	Li Yong,Zhou Qin-de and Deng Shou-an,Asymptotic behavior of solutions forsingularly perturbed boundary value problems with high order turning points,Northeastern Math.,J.,5,2(1989),65-74.
[2]	周钦德,具有转向点的奇摄动边值问题,东北数学,2(1)(1986),100-110
[3]	Deng Shou-an(邓寿安) and Zhou Qin-de(周钦德),A problem with a high order turning point,Northeastern Math.J.,6,1(1990).221-226.
[4]	李勇、周钦德,具有转向点的二阶拟线性奇摄动方程解的渐近展开,吉林大学自然科学学报,(4)(1988),1-7.
[5]	周钦德、王怀中,带有高阶转向点的奇摄动边值问题解的一致有效估计,吉林大学自然科学学报,(4)(1988),19-26.
[6]	李勇、周钦德,奇异Robin边值问题解的存在性.(待发表)
[7]	Zhao Wei-li,Singular perturbations of boundary value problems for third ordernonlinear ordinary differential equations,Acta Mathematica Scientia,8,1(1988),95-108.

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