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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper Title:
General Oscillations for Some Third Order Differential Systems with Nonlinear Acceleration Term
Author(s):
Awar Simon Ukpera
Department of Mathematics,
Obafemi Awolowo University,
Ile-Ife,
Nigeria.
aukpera@oauife.edu.ng
Abstract:
We generate some general nonuniform hypotheses for third order differential systems
of the form X''' +F(t,X'' )+BX'+CX = P(t), in which B and C are not
necessarily
constant matrices. Some results requiring sharp conditions on this system have recently been
published by the author in
[5]. This work however examines more closely crucial properties
associated with the generalised nature of the nonlinear acceleration term F, which were largely
overlooked in the earlier paper.
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