Comparison of eigenvalues for linear differential equations of order 2𝑛

Travis, Curtis C.

doi:10.1090/S0002-9947-1973-0316808-5

Comparison of eigenvalues for linear differential equations of order $2n$
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by Curtis C. Travis PDF

Trans. Amer. Math. Soc. 177 (1973), 363-374 Request permission

Abstract:

An abstract eigenvalue comparison theorem is proven for ${u_0}$-positive linear operators in a Banach space equippped with a cone of “nonnegative” elements. This result is then applied to certain linear differential equations of order 2n in order to obtain eigenvalue comparison theorems of an “integral type."

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