Geodesic
On the theory of periodic solutions of systems of hyperbolic equations in the plane
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 210 (2022), pp. 35-48

Voir la notice de l'article provenant de la source Math-Net.Ru

A periodic problem on the plane for a system of second-order hyperbolic equations with mixed derivatives is considered. The existence of a unique classical solution of the problem is examined and methods of constructing it are discussed.
Keywords: system of hyperbolic equations, doubly periodic solution, solvability, algorithm, method of functional parameters. 
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     author = {A. T. Assanova},
     title = {On the theory of periodic solutions of systems of hyperbolic equations in the plane},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {35--48},
     publisher = {mathdoc},
     volume = {210},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_210_a4/}
}
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A. T. Assanova. On the theory of periodic solutions of systems of hyperbolic equations in the plane. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 210 (2022), pp. 35-48. http://geodesic.mathdoc.fr/item/INTO_2022_210_a4/