Asymptotic growth of solutions of neutral type systems (Q360370)

From MaRDI portal





scientific article; zbMATH DE number 6201595
Language Label Description Also known as
English
Asymptotic growth of solutions of neutral type systems
scientific article; zbMATH DE number 6201595

    Statements

    Asymptotic growth of solutions of neutral type systems (English)
    0 references
    0 references
    0 references
    26 August 2013
    0 references
    The authors consider a neutral differential system with distributed delay. Based on a spectral analysis of the operator corresponding to the system and some uniform estimation of norms of the exponentials of matrices, they obtain a precise norm estimation of the semigroup generated by the operator. The stability properties of the corresponding solutions and the existence of the fastest growing solution are also discussed.
    0 references
    neutral differential system
    0 references
    distributed delay
    0 references
    asymptotic behaviour of solutions
    0 references
    maximal asymptotics
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers