具有转向点的三阶半线性奇摄动边值问题解的存在性
Existence of Solutions for a Singularly Perturbed Boundary Value Problem for the Third Order Semi Linear Differential Equation with a Turning Point
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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.
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Key words:
- turning point /
- semi-linear /
- singular perturbation
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[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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