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

Abstract

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.

Keywords

• Monotone solutions
• oscillatory solutions
• asymptotic condition
• fixed point theorem