Abstract
In this paper, we examine the solvability of a mixed problem with an integral condition for a third-order equation whose principal part contains the wave operator. The existence and uniqueness of a classical solution to this problem are proved by the Riemann method.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 144, Proceedings of the Conference “Problems of Modern Topology and Its Applications” (May 11–12, 2017), Tashkent, Uzbekistan, 2018.
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Zikirov, O.S., Kholikov, D.K. Solvability of a Mixed Problem with an Integral Condition for a Third-Order Hyperbolic Equation. J Math Sci 245, 323–331 (2020). https://doi.org/10.1007/s10958-020-04693-5
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DOI: https://doi.org/10.1007/s10958-020-04693-5
Keywords and phrases
- Riemann function
- Goursat problem
- nonlocal condition
- hyperbolic equation
- integral equation
- solvability condition