Boundary Value Problem For A Class Of Third Order Differential Equations

In this paper, using the method of boundary functions, the boundary value problem for a class of singularly perturbed third order equations was studied as followsWhere y and f are both n-dimensional vectors. In chapter 1, we simply introduce the background of the problem and the method of boundary functions,then introduce the work that has been done. In chapter 2, we list the prepare knowledge. In chapter 3, we discuss the above problem, we not only give algorithm for the formal asymptotic solution, but also prove the existence, uniqueness and uniform validity of its asymptotic solution in a rigorous way. Also an example is raised to support our results.