Asymptotics for higher order differential equations with a middle term.
|Original title:||Asymptotics for higher order differential equations with a middle term.|
|Authors:||Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini|
|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.