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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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
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author Yang, Yanjuan
Liang, Zaitao
author_facet Yang, Yanjuan
Liang, Zaitao
author_sort Yang, Yanjuan
collection Texas State University: Digital Collections Repository
description 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
format Other/Unknown Material
genre Arctic
genre_facet Arctic
geographic Arctic
geographic_facet Arctic
id fttexasstate:oai:digital.library.txstate.edu:10877/15403
institution Open Polar
language English
op_collection_id fttexasstate
op_relation Yang, Y., & Liang, Z. (2018). Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows. Electronic Journal of Differential Equations, 2018(154), pp. 1-11.
1072-6691
https://digital.library.txstate.edu/handle/10877/15403
op_rights This work is licensed under a Creative Commons Attribution 4.0 International License.
op_rightsnorm CC-BY
op_source Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
publishDate 2022
publisher Texas State University, Department of Mathematics
record_format openpolar
spelling fttexasstate:oai:digital.library.txstate.edu:10877/15403 2025-01-16T20:25:29+00:00 Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows Yang, Yanjuan Liang, Zaitao 2022-02-22T19:51:49Z Text 11 pages 1 file (.pdf) application/pdf https://digital.library.txstate.edu/handle/10877/15403 en eng Texas State University, Department of Mathematics Yang, Y., & Liang, Z. (2018). Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows. Electronic Journal of Differential Equations, 2018(154), pp. 1-11. 1072-6691 https://digital.library.txstate.edu/handle/10877/15403 This work is licensed under a Creative Commons Attribution 4.0 International License. CC-BY Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. Monotone solutions Oscillatory solutions Asymptotic condition Fixed point theorem publishedVersion 2022 fttexasstate 2022-10-01T22:05:53Z 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 Other/Unknown Material Arctic Texas State University: Digital Collections Repository Arctic
spellingShingle Monotone solutions
Oscillatory solutions
Asymptotic condition
Fixed point theorem
Yang, Yanjuan
Liang, Zaitao
Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title_full Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title_fullStr Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title_full_unstemmed Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title_short Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
title_sort monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
topic Monotone solutions
Oscillatory solutions
Asymptotic condition
Fixed point theorem
topic_facet Monotone solutions
Oscillatory solutions
Asymptotic condition
Fixed point theorem
url https://digital.library.txstate.edu/handle/10877/15403