Summary
Starting with the problem of finding a mass-distribution on a sphere, admitting in each point P a density, function of the point P and of the mass contained in a certain domain depending on P, the author proves the existence and the uniqueness of the solution of (5) under assumption (1), (2), (3). As a generalization, he also studies hyperbolic partial differential equations having solutions periodic in one of the variables with period depending on the others.
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References
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To Prof. BeniaminoSegre on the occasion of his 70-th birthday.
Entrata in Redazione il 24 marzo 1973.
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Halmovici, A. Periodic solutions of hyperbolic partial differential equations. Annali di Matematica 98, 297–309 (1974). https://doi.org/10.1007/BF02414029
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DOI: https://doi.org/10.1007/BF02414029