Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations

Mathematics

Mihály Pituk¹ 

[1] Department of Mathematics, University of Pannonia, 8200 Veszprém, Hungary;

关键词: linear functional differential equation;    nonnegative solution;    small solution;    characteristic equation;    eigenfunction;    decomposition theory;   

DOI  :  10.3390/math8071098

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown