Differential Operators Defining Solutions to Iterated Hyperbolic-Type Equations
Hyperbolic-type differential equations and their iterations are widely used to solve problems related to vibration phenomena and other problems of mechanics and mathematical physics. The methods of solving such equations are the creation of differential and integral operators. In the article, differ...
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| Veröffentlicht in: | Cybernetics and systems analysis 2024-09, Vol.60 (5), p.753-758 |
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| container_title | Cybernetics and systems analysis |
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| creator | Lyashko, S. I. Sydorov, M. V.-S. Lyashko, N. I. Alexandrovich, I. M. |
| description | Hyperbolic-type differential equations and their iterations are widely used to solve problems related to vibration phenomena and other problems of mechanics and mathematical physics. The methods of solving such equations are the creation of differential and integral operators. In the article, differential operators are constructed that translate arbitrary functions into regular solutions of a hyperbolic equation of the second and higher orders. The Riquier problem for the hyperbolic equation of the fourth order is solved. |
| doi_str_mv | 10.1007/s10559-024-00712-4 |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Artificial Intelligence Control Hyperbolic differential equations Mathematics Mathematics and Statistics Operators (mathematics) Processor Architectures Software Engineering/Programming and Operating Systems Systems Theory |
| title | Differential Operators Defining Solutions to Iterated Hyperbolic-Type Equations |
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