三阶非线性方程三点边值问题的奇摄动

Singular Perturbation for Three-Point Boundary Value Problem for Third-Order Nonlinear Equation

讨论了三阶非线性微分方程三点边值问题的奇摄动.利用积分算子和微分不等式技巧,得到了解的存在性、唯一性与渐近估计.结果表明,这种技巧为其它三阶边值问题的研究提出了一种新的思路.

Singular perturbation of three-point boundary value problem for third order nonlinear equation is studied by using of Voherra type integral operator and differential inequality techniques. The existence and uniqueness and asymptotic estimmation of the solutions are obtained. The use of these techniques to study for these kinds of third-order boundary value problems seems to be new.