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Classical Solutions of Hyperbolic Equations with Nonlocal Potentials

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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. Click to show full 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.

Keywords: nonlocal potentials; solutions hyperbolic; equations nonlocal; hyperbolic equations; classical solutions

Journal Title: Doklady Mathematics
Year Published: 2021

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