IJPAM: Volume 63, No. 1 (2010)

OSCILLATION CRITERIA FOR RETARDED
FUNCTIONAL DIFFERENTIAL SYSTEMS

Ana M. Pedro
Departamento de Matemática
Faculdade de Ciências e Tecnologia
Universidade Nova de Lisboa
Quinta da Torre, 2825-114, Monte de Caparica, PORTUGAL


Abstract.Several criteria are given for having the retarded functional differential systems $\frac{d}{dt}x\left( t\right) =\int_{-1}^{0}x\left( t-r\left( \theta \right) \right) dq\left( \theta \right) $ oscillatory, depending upon the smoothness of the delay function $r\left( \theta \right)$.

Received: June 12, 2010

AMS Subject Classification: 34K11

Key Words and Phrases: retarded functional differential systems, oscillations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 1