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Oscillation of second-order nonlinear noncanonical differential equations with deviating argument
Abstract:The purpose of this paper is to study the second-order nonlinear noncanonical differential equation r(t)y(t)+p(t)f(y(τ(t)))=0under the condition 1r(t)dt<. Contrary to most existing results, oscillation of the studied equation is attained via only one condition. We consider both delay and advanced differential equations. A particular example of Euler type equation is provided in order to illustrate the significance of our main results.
Keywords:Nonlinear differential equation  Delay  Advanced  Second-order  Noncanonical  Oscillation
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