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Linear Differential Equations of Order n

  • Walter G. Kelley
  • Allan C. Peterson
Chapter
Part of the Universitext book series (UTX, volume 0)

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 \(\mathbb {R} \).

Keywords

Trivial Solution Linear Differential Equation Prove Theorem Independent Solution Fundamental Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OklahomaNormanUSA
  2. 2.Department of MathematicsUniversity of Nebraska-LincolnLincolnUSA

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