On the solvability of a class of discrete matrix equations with a cubic nonlinearity
We study and solve one class of discrete matrix equations with cubic nonlinearity. The existence of two parametric families of monotone and bounded solutions is proved. Under certain additional conditions, we establish the asymptotic behavior of the constructed solutions. The obtained results are ex...
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| Дата: | 2019 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Українська Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2019
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/186 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study and solve one class of discrete matrix equations with cubic nonlinearity. The existence of two parametric families of monotone and bounded solutions is proved. Under certain additional conditions, we establish the asymptotic behavior of the constructed solutions. The obtained results are extended to the corresponding inhomogeneous discrete matrix equations and to certain more general cases of nonlinearity. |
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