Applied Mathematics and Numerical Analysis Seminar 

18/02/2010, 11:00 — 16:00 — Room P1, Mathematics Building
Sandra Pinelas, Departamento de Matemática, Universidade dos Açores

Oscillatory Mixed Differential Systems

In this work are obtained some criteria which guarantee the oscillatory behavior of the differential system of mixed type $$x'(t)=\int_{-1}^0 d[\nu(\theta)] x(t-r(\theta)) + \int_{-1}^0 d[\eta(\theta)]x(t+\tau(\theta))$$ where \(x(t)\in\mathbb{R}^n\), \(r(\theta)\) and \(\tau(\theta)\) are real \(n\times n\) matrix valued functions of bounded variation on \([-1,0]\).