Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows

In this article, we study the existence of monotone bounded solutions and of oscillatory solutions to a second-order differential equation with asymptotic conditions. Such asymptotic conditions arise in the study of the ocean flow in arctic gyres. Our approach relies on functional-analytic technique...

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Bibliographic Details
Main Authors: Yanjuan Yang, Zaitao liang
Format: Article in Journal/Newspaper
Language:English
Published: Texas State University 2018
Subjects:
Online Access:https://doaj.org/article/38b6343c0a9f49f6ae2b745bbad3de1e
Description
Summary:In this article, we study the existence of monotone bounded solutions and of oscillatory solutions to a second-order differential equation with asymptotic conditions. Such asymptotic conditions arise in the study of the ocean flow in arctic gyres. Our approach relies on functional-analytic techniques.