IJPAM: Volume 31, No. 1 (2006)

NONOSCILLATION CRITERIA FOR RETARDED
FUNCTIONAL DIFFERENTIAL SYSTEMS

Ana M. Pedro
Departamento de Matemática
Faculdade de Ciências e Tecnologia
Universidade Nova de Lisboa
Quinta da Torre
Monte de Caparica, 2825-114, PORTUGAL
e-mail: anap@fct.unl.pt


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

Received: June 27, 2006

AMS Subject Classification: 34K11

Key Words and Phrases: retarded functional differential systems, oscillations, non-oscillations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 1