Some Oscillation Theorems For Second Order Nonlinear And Nonhomogeneous Differential Equations With Alternating Coefficients
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Alternating Coefficients , Nonhomogeneous Equations, Oscillation Solutions, Runge-Kutta Methods
Abstract
Some oscillation criteria for solutions of a general ordinary differential of second order of the form
(r(t)'x(t))'+q(t)(g(x(t)),r(t)'x(t))=H(t,x(t))
with alternating coefficients are given. Our results improve and extend some existing results in the literature. Some illustrative examples are given with its numerical solutions, which are computed using Runge Kutta method of fourth order.
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References
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