Linear Differential Equations of Order n

Abstract

In this chapter we are concerned with the nth-order linear differential equation

$$y^{(n)} + p_{n-1} (t)_y^{(n-1)} + \cdots + p_0 (t)y = h(t),$$

where we assume pi : I → $\mathbb {R}$ is continuous for 0 ≤ i ≤ n-1, and h : I → $\mathbb {R}$ is continuous, where I is a subinterval of $\mathbb {R}$.