Oscillations of Solutions for Nonlinear Differential Equations
Keywords:
Oscillation criteria, ordinary differential equations, Second order, NonlinearAbstract
It is know that many problems in physics, in the study of chemically reacting systems, in celestial mechanics and in other fields of science can be modelled by second order nonlinear differential equations. Therefore, the asymptotic and oscillatory properties of solutions of such equations have been investigated by many authors. In this paper our aim is to present some new sufficient conditions for the oscillation of all solutions of the nonlinear differential equations of the form
(r(t)y (x(t))x(t)) + g1 (t, x(t)) = 0
Our new results extend and improve a number of existing oscillation criteria. Further, Our main results are illustrated with examples.
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