separation of zeros
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2002 ◽  
Vol 72 (1) ◽  
pp. 109-118
Author(s):  
Peter Walker

AbstractWe investigate the location and separation of zeros of certain three-term linear combination of translates of polynomials. In particular, we find an interval of the form I = [−1, 1 + h], h > 0 such that for a polynomial f, all of whose zeros are real, and λ ∈ I, all zeros of f (x + 2ic) + 2λf (x) + f (x – 2ic) are also real.


1994 ◽  
Vol 1 (3) ◽  
pp. 267-276
Author(s):  
A. Domoshnitsky

Abstract Sturm's type theorems on separation of zeros of solutions are proved for the second order linear differential equations with delayed argument.


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