On the fundamental solution of linear delay differential equations with multiple delays
For a class of linear autonomous delay differential equations with parameter $\alpha$ we give upper bounds for the integral $\int_{0}^{\infty}\left|X\left(t,\alpha\right)\right|\mbox{d}t$ of the fundamental solution $X\left(\cdot,\alpha\right)$. The asymptotic estimations are sharp at a critical val...
Main Authors: | Gabriella Vas, Tibor Krisztin |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2011-06-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=780 |
Similar Items
-
On positiveness of the fundamental solution for a linear autonomous differential equation with distributed delay
by: Tatyana Sabatulina, et al.
Published: (2014-12-01) -
On a class of linear ordinary differential equations having ∑k=0∞xkδ(k)(t) and ∑k=0mxkδ(k)(t) as solutions
by: Ahmed D. Alawneh, et al.
Published: (1996-01-01) -
Explicit integral criteria for the existence of positive solutions of first order linear delay equations
by: George Chatzarakis, et al.
Published: (2016-07-01) -
Representation of solution for a linear fractional delay differential equation of Hadamard type
by: Peng Yang, et al.
Published: (2019-07-01) -
Representation of solutions of systems of linear differential equations with multiple delays and nonpermutable variable coefficients
by: Michal Pospíšil
Published: (2020-03-01)