【摘要】 研究非线性三阶向量常微分方程的奇摄动边值问题.在一定的条件下,转变所给方程为对角化系统,然后去求解等价的积分方程,再用逐步逼近法和不动点原理,证得摄动问题解的存在并给出渐近估计.最后,给出了若干应用例子.更多还原

【Abstract】 The singularly perturbations for the vector boundary value problem of nonlinear third-order ordinary differential equations were studied.Under certain conditions, the given differential equation was transformed into a diagonalized system,and then the equivalent integral equations was solved.By using the method of succesive approximation and the theorem of fixed point,the existence of the solution of singular perturbation problem was proved and the asymptotic estimation was obtained.Finally,several examples of application were given.更多还原