Geodesic
Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions
Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 32-39

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In this article, the classical solutions of the first and second mixed problems for a one-dimensional wave equation are studied. These problems are considered in the class of continuously differentiable functions of order greater than two. The classical solutions of the problems posed are obtained in an analytical form. The uniqueness of the solutions found is proved. 
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     author = {V. I. Korzyuk and I. S. Kozlovskaja and S. N. Naumavets},
     title = {Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions},
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V. I. Korzyuk; I. S. Kozlovskaja; S. N. Naumavets. Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions. Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 32-39. http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a3/