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Published in 2024 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2025.2577414
Abstract: Abstract The article addresses linear hyperbolic systems in one space dimension with random field coefficients. In many applications, a low degree of regularity of the paths of the coefficients is required, which is not covered…
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Keywords:
solutions hyperbolic;
field coefficients;
hyperbolic systems;
generalized solutions ... See more keywords
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Published in 2021 at "Doklady Mathematics"
DOI: 10.1134/s1064562421030157
Abstract: A three-parameter family of global solutions for a two-dimensional hyperbolic differential-difference equation with a nonlocal potential is constructed. A theorem that the obtained solutions are classical is proved.
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Keywords:
nonlocal potentials;
solutions hyperbolic;
equations nonlocal;
hyperbolic equations ... See more keywords