Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions
UDC 517.9 We consider a parabolic-hyperbolic equation with multiplicative control and nonlocal boundary conditions. By using the Riess biorthogonal basis, the problem is reduced to a sequence of one-dimensional problems with alternative representations of their solutions. C...
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| Дата: | 2024 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6829 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
We consider a parabolic-hyperbolic equation with multiplicative control and nonlocal boundary conditions. By using the Riess biorthogonal basis, the problem is reduced to a sequence of one-dimensional problems with alternative representations of their solutions. Conditions guaranteeing the existence and uniqueness of  solution to the analyzed problem are established. |
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| DOI: | 10.3842/umzh.v76i2.6829 |