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: Yang, Yanjuan, Liang, Zaitao
Format: Other/Unknown Material
Language:English
Published: Texas State University, Department of Mathematics 2022
Subjects:
Online Access:https://digital.library.txstate.edu/handle/10877/15403
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. Mathematics