Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations

Mihály Pituk
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Mihály Pituk: Department of Mathematics, University of Pannonia, 8200 Veszprém, Hungary

Mathematics, 2020, vol. 8, issue 7, 1-8

Abstract: It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.

Keywords: linear functional differential equation; nonnegative solution; small solution; characteristic equation; eigenfunction; decomposition theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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