Geodesic
Cauchy problem for a substantially loaded hyperbolic equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 10-15

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In this work, we study the Cauchy problem for a substantially loaded vibration equation of a one-dimensional string. Examples are given of characteristic manifolds for which the Cauchy problem is posed correctly, as well as non-characteristic manifolds for which the Cauchy problem is posed incorrectly.
Keywords: Cauchy problem, essentially loaded equation, characteristic manifold, regular solution, difference equation, initial data.
Mots-clés : domain of wave propagation 
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     author = {A. Kh. Attaev},
     title = {Cauchy problem for a substantially loaded hyperbolic equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {10--15},
     publisher = {mathdoc},
     volume = {37},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a0/}
}
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A. Kh. Attaev. Cauchy problem for a substantially loaded hyperbolic equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 10-15. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a0/