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A note on the theorem on differential inequalities. (English) Zbl 1009.34057
The authors consider the Cauchy problem \[ u''(t) = l(u)(t)+q(t), \quad u(a)=c, \] where \(l \) is a linear nonpositive operator. The aim of this note is to derive a necessary condition on \(l \) to be a Volterra operator.

MSC:
34K06 Linear functional-differential equations
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
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