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On Stability of Linear Delay Differential Equations under Perron's Condition
Author(s) -
Josef Diblı́k,
A. Zafer
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/134072
Subject(s) - mathematics , stability (learning theory) , exponential stability , delay differential equation , zero (linguistics) , differential equation , mathematical analysis , linear stability , control theory (sociology) , nonlinear system , control (management) , linguistics , philosophy , physics , quantum mechanics , machine learning , computer science , management , economics
The stability of the zero solution of a system of first-orderlinear functional differential equations with nonconstant delay is considered.Sufficient conditions for stability, uniform stability, asymptotic stability, anduniform asymptotic stability are established

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