Sturm Liouville eigenvalue theory

Abstract

In this chapter we deal with Dirichlet boundary value problems as

$$\left\{ {\begin{array}{*{20}{c}} {x''(t) + A(t)x'(t) + B(t)x(t) + \lambda C(t)x(t) = 0} \\ {x(a) = 0} \\ {x(b) = 0} \end{array} } \right.$$

where a < b, λ is a real parameter and a, B; C are continuous functions in [a, b].