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.
- Exponential stability
- High order delay equations
- Nonnegative fundamental matrix
- Systems of delay equations
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology