Evolution inequalities with noncoercive w λ 0 -pseudomonotone volterra-type mappings
We consider a class of differential-operator inequalities with noncoercive w λ 0 -pseudomonotone operators. The problem of the existence of solutions of the Cauchy problem for these inequalities is investigated by using the Dubinsky method. A priori estimates for these solutions and their derivati...
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| Дата: | 2008 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2008
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3264 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We consider a class of differential-operator inequalities with noncoercive w λ 0 -pseudomonotone operators.
The problem of the existence of solutions of the Cauchy problem for these inequalities is investigated by using the Dubinsky method.
A priori estimates for these solutions and their derivatives are obtained. We give a model example that illustrates the results and generalizations obtained. |
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