Geodesic
Solvability of a Mixed Problem with an Integral Condition
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 30-38.

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In the 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.
Keywords: Riemann function, hyperbolic equation, integral equation, solvability condition.
Mots-clés : Goursat problem, nonlocal condition 
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O. S. Zikirov; D. K. Kholikov. Solvability of a Mixed Problem with an Integral Condition. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 30-38. http://geodesic.mathdoc.fr/item/INTO_2018_144_a2/

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