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Analytical method to study a mathematical model of wave processes under two­point time conditions

“…Such two-point, and the more general n-point, problems with known values U(t, x) at n times for a partial differential equation of order n for time were first examined in papers [13,14]. In these studies, as well as in subsequent works [15][16][17] addressing isotropic, and in [18,19] -anisotropic, partial differential equation, regarding the well-posedness of n-point (multipoint) problems, their authors imposed additional conditions for the 2π-periodicity of solution based on spatial coordinates and used the small denominators lower estimates, inherent to these problems.…”

“…where L is set (18), then the solution to problem (17) is found from formula (14), where The graph of this function (dependence of the magnitude of an oscillation amplitude on time for each point at the string) is shown in Fig. 1.…”