Oscillation results for higher order nonlinear neutral differential equations (Q2287182)

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Oscillation results for higher order nonlinear neutral differential equations
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    Oscillation results for higher order nonlinear neutral differential equations (English)
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    23 January 2020
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    Summary: In this paper, the authors investigated the oscillatory and asymptotic behaviour of solution of a class of nonlinear higher order neutral differential equations with positive and negative coefficients. We have established a new conditions which guarantees that every solutions either oscillatory or converges to zero. Moreover, using Schauder's fixed point theorem sufficient conditions are obtained for the bounded positive solutions. Examples are considered to illustrate the main results.
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    functional-differential equations
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    neutral differential equations
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    nonlinear differential equations
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    oscillation
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    positive coefficients
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    negative coefficients
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    oscillatory behaviour
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    asymptotic behaviour
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    fixed point theorem
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