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Asymptotics for higher order differential equations with a middle term.

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Original title:Asymptotics for higher order differential equations with a middle term.
Authors:Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini
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Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords:higher order nonlinear equations;oscillatory solutions;bounded solutions;asymptotic linear solutions

Higher order nonlinear differential equations with the middle term as a perturbation of certain linear equations are studied. Using an iterative method, we show that for every solution of nonlinear equation there exists a solution of linear equation such that their difference have bounded variation and tend to zero. Asymptotics of solutions and the existence of monotone solutions are examined, too.

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