On a nonlinear model for arctic gyres and a remarkable generalization of Osgood Criterion
Monatshefte fur Mathematik, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s00605-026-02216-z
- Dergi Adı: Monatshefte fur Mathematik
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Existence, Monotone solutions, Osgood conditions, Stratified arctic gyres, Uniqueness
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the existence and uniqueness of monotone bounded solutions for a differential equation arising from stratified arctic gyres. We show that the existence of the solution can be established for the equations with more weak hypotheses. Using the Dominated Convergence Theorem we received a uniqueness result with some generalization of Osgood’s conditions and it seems that this generalization can play a key role in the proofs of uniqueness theorems.