Geodesic
Divergent series and generalized mixed problem for wave equation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 24 (2024) no. 3, pp. 351-358

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

Allowing the inversion of the operations of summation and integration for trigonometric Fourier series we present the solution by Fourier method of the generalized mixed problem for the homogeneous wave equation with zero initial velocity and fixed ends boundary conditions. The solution has the form of a series converging at an exponential rate. This series converges the classical solution if the latter equists. The results of the article reinforce the previously obtained results. 
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     author = {A. P. Khromov},
     title = {Divergent series and generalized mixed problem for wave equation},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {351--358},
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     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2024_24_3_a3/}
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A. P. Khromov. Divergent series and generalized mixed problem for wave equation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 24 (2024) no. 3, pp. 351-358. http://geodesic.mathdoc.fr/item/ISU_2024_24_3_a3/