Abstract
The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations in the case when the non-diagonal entries of matrices Ak are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations.
Original language | American English |
---|---|
Pages (from-to) | 275-296 |
Number of pages | 22 |
Journal | Funkcialaj Ekvacioj |
Volume | 54 |
Issue number | 2 |
DOIs | |
State | Published - 11 Aug 2011 |
Keywords
- Exponential stability
- High order delay equations
- Nonnegative fundamental matrix
- Nonoscillation
- Systems of delay equations
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology