Asymptotics for higher order differential equations with a middle term.
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2011.10.059 |
| Field | General mathematics |
| Keywords | higher order nonlinear equations;oscillatory solutions;bounded solutions;asymptotic linear solutions |
| Description | 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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