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Asymptotics for higher order differential equations with a middle term.

Basic information
Original title:Asymptotics for higher order differential equations with a middle term.
Authors:Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini
Further information
Citation:BARTUŠEK, Miroslav, Mariella CECCHI, Zuzana DOŠLÁ and Mauro MARINI. Asymptotics for higher order differential equations with a middle term. Journal of Mathematical Analysis and Applications, USA: Acad.Press, 2012, vol. 388, No 2, p. 1130-1140. ISSN 0022-247X. doi:10.1016/j.jmaa.2011.10.059.Export BibTeX
@article{973246,
author = {Bartušek, Miroslav and Cecchi, Mariella and Došlá, Zuzana and Marini, Mauro},
article_location = {USA},
article_number = {2},
doi = {http://dx.doi.org/10.1016/j.jmaa.2011.10.059},
keywords = {higher order nonlinear equations;oscillatory solutions;bounded solutions;asymptotic linear solutions},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Asymptotics for higher order differential equations with a middle term.},
volume = {388},
year = {2012}
}
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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