1,810 research outputs found

    Oscillation of solutions to a higher-order neutral PDE with distributed deviating arguments

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    This article presents conditions for the oscillation of solutions to neutral partial differential equations. The order of these equations can be even or odd, and the deviating arguments can be distributed over an interval. We also extend our results to a nonlinear equation and to a system of equations

    Oscillatory theorems of a class of even-order neutral equations

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    AbstractA class of even-order nonlinear neutral differential equations with distributed deviating arguments is studied, and oscillatory criteria for solutions of such equations are established

    On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations

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    By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation and on the deviating argument, our criteria improve a number of related results reported in the literature.publishedVersio

    Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays

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