BARTUŠEK, Miroslav, Mariella CECCHI, Zuzana DOŠLÁ a Mauro MARINI. Asymptotics for higher order differential equations with a middle term. Journal of Mathematical Analysis and Applications. USA: Acad.Press, 2012, roč. 388, č. 2, s. 1130-1140. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2011.10.059. |
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@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} }
TY - JOUR ID - 973246 AU - Bartušek, Miroslav - Cecchi, Mariella - Došlá, Zuzana - Marini, Mauro PY - 2012 TI - Asymptotics for higher order differential equations with a middle term. JF - Journal of Mathematical Analysis and Applications VL - 388 IS - 2 SP - 1130-1140 EP - 1130-1140 PB - Acad.Press SN - 0022247X KW - higher order nonlinear equations;oscillatory solutions;bounded solutions;asymptotic linear solutions N2 - 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. ER -
BARTUŠEK, Miroslav, Mariella CECCHI, Zuzana DOŠLÁ a Mauro MARINI. Asymptotics for higher order differential equations with a middle term. \textit{Journal of Mathematical Analysis and Applications}. USA: Acad.Press, 2012, roč.~388, č.~2, s.~1130-1140. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2011.10.059.
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