On estimation of solutions of neutral type systems on nonclosed sets

2013/04/14 by G. M. Sklyar, Sklyar, G. M., P. Polak +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1304.3951

arxiv created 2013/04/14 · arxiv updated 2013/04/16

Abstract

We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of solutions of the system in question on some nonclosed set. Our result is based on a spectral analysis of the operator and Riesz basis theory. We also discuss the stability properties of corresponding solutions.

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