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 | English |
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Pages (from-to) | 275-296 |
Number of pages | 22 |
Journal | Funkcialaj Ekvacioj |
Volume | 54 |
Issue number | 2 |
DOIs | |
State | Published - 2011 |
Keywords
- Exponential stability
- High order delay equations
- Nonnegative fundamental matrix
- Nonoscillation
- Systems of delay equations