Open AccessOn the fundamental solution of linear delay differential equations with multiple delays
Author(s) -
Gabriella Vas,
Tibor Krisztin
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.36
Subject(s) - mathematics , delay differential equation , linear differential equation , differential equation , mathematical analysis
For a class of linear autonomous delay di erential equations with parameter α we give upper bounds for the integral ́∞ 0 |X (t, α)| dt of the fundamental solution X (·, α). The asymptotic estimations are sharp at a critical value α0 where x = 0 loses stability.
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