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Solutions with exponential character to a linear functional equation and roots of its characteristic equation |
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| Authors: | Dariusz Soko?owski |
| Institution: | Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland |
| Abstract: | We study the connection between solutions of the functional equation φ(x)=S∫φ(x+M(s))σ(ds) which are comparable at infinity with functions of the form xeλx, and real roots of the characteristic equation S∫eλM(s)σ(ds)=1. |
| Keywords: | Linear functional equations and inequalities Solutions comparable with other functions Characteristic roots |
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