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

Cai Jian-ping; Lin Zong-chi

Volume 14 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(12): 1035-1039

Cai Jian-ping, Lin Zong-chi. Existence of Solutions for a Singularly Perturbed Boundary Value Problem for the Third Order Semi Linear Differential Equation with a Turning Point[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1035-1039.

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

Cai Jian-ping¹,
Lin Zong-chi²

1.
Dept. of Math., Zhangzhou Normal College, Fujian;
2.
Dept. of Math., Fujian Normal University, Fuzhou

Received Date: 1992-08-03
Publish Date: 1993-12-15

Abstract

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

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References

[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.