We establish conditions for the linear differential equation
to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations. A comparison theorem is obtained for the oscillation of the equation with the oscillation of a third order ordinary differential equation.
Submitted September 4, 2004. Published June 23, 2005.
Math Subject Classifications: 34C10, 34K15.
Key Words: Oscillatory solution; nonoscillatory solution; property A.
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| Seshadev Padhi |
Department of Applied Mathematics
Birla Institute of Technology, Mesra, Ranchi -835 215, India
and Department of Mathematics and Statistics
Mississippi State University
MS-39762, Mississippi State, USA
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