Comparison of eigenvalues for a class of two-point boundary value problems

Abstract

The theory of u ₀-positive operators with respect to a cone in a Banach space is applied to a class of two-point boundary value problems for ordinary differential equations. The existence of a smallest positive eigenvalue is established, and then a comparison theorem for smallest positive eigenvalues is obtained.

Keywords:

• Eigenvalue
• boundary value problem
• comparison theorem

AMS(MOS):

• 34C10
• 34B05
• 34B10