Annali di Matematica Pura ed Applicata

, Volume 73, Issue 1, pp 195–220 | Cite as

An eigenvalue comparison theorem for second order self-adjoint differential equations

  • John G. Moore


This paper is concerned with a comparison of the eigenvalues for pairs of self-adjoint differential systems which arise from a single ordinary second-order differential equation. The sistems differ in the boundary conditions which are imposed, and it is these boundary conditions which will draw most of the attention. The principal results obtained deal with predicting alternation of the eigenvalues for two such systems from the boundary conditions alone, without special consideration of the differential equation.


Boundary Condition Differential Equation Special Consideration Differential System Comparison Theorem 
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Copyright information

© Nicola Zanichelli Editore 1966

Authors and Affiliations

  • John G. Moore
    • 1
  1. 1.KnoxvilleUSA

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