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) -
Comparison of Symbolic Computations for Solving Linear Delay Differential Equations Using the Laplace Transform Method
by: Michelle Sherman, et al.
Published: (2022-09-01) -
Mild solutions, variation of constants formula, and linearized stability for delay differential equations
by: Junya Nishiguchi
Published: (2023-08-01) -
Multistep block methods for solving higher order delay differential equations
by: Hoo, Yann Seong
Published: (2016) -
Analytical Solutions of Systems of Linear Delay Differential Equations by the Laplace Transform: Featuring Limit Cycles
by: Gilbert Kerr, et al.
Published: (2024-02-01)