【摘要】 讨论了三阶非线性微分方程三点非线性边值问题的奇摄动.首先利用积分算子和微分不等式技巧,得到了解的存在性和唯一性;其次在适当的条件下,通过构造具体的上下解建立了解的渐近估计.结果表明,这种技巧为其他三阶奇摄动边值问题的研究提出了一种新的思路.更多还原

【Abstract】 In this paper,singular perturbation of three-point boundary value problem for third order nonlinear equation was studied by making use of Volterra type integral operator and differential inequality techniques,existence and uniqueness were obtained.The upper and lower solutions were constructed under specific condition,and asymptotic was established.The use of these techniques to study for these kinds of third-order singularly perturbed boundary value problems seems to be new.更多还原