Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator
The paper considers nonlocal problems with integral conditions for hyperbolic equations with the Bessel differential operator whose statement substantially depends on the intervals where the parameter occurring in this operator varies. The well-posedness of these problems is studied according to a u...
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| Veröffentlicht in: | Differential equations 2023-12, Vol.59 (Suppl 1), p.1-72 |
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| container_issue | Suppl 1 |
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| container_title | Differential equations |
| container_volume | 59 |
| creator | Zaitseva, N. V. |
| description | The paper considers nonlocal problems with integral conditions for hyperbolic equations with the Bessel differential operator whose statement substantially depends on the intervals where the parameter occurring in this operator varies. The well-posedness of these problems is studied according to a unified scheme based on the classical method of separation of variables, which is also used to study nonclassical problems with integral conditions for equations of elliptic–hyperbolic type containing the Bessel operator in one or two variables as well. |
| doi_str_mv | 10.1134/S00122661230130013 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0012-2661 |
| ispartof | Differential equations, 2023-12, Vol.59 (Suppl 1), p.1-72 |
| issn | 0012-2661 1608-3083 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Bessel functions Difference and Functional Equations Differential equations Elliptic functions Mathematical analysis Mathematics Mathematics and Statistics Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Well posed problems |
| title | Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator |
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