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Two-point boundary value problem for the string vibration equation with given velocity at an arbitrary point of time. I. (Russian. English summary) Zbl 1214.35070

Summary: A boundary value problem for the string vibration equation with given velocity at any time of string vibration is considered in a half stipe. An analytic solution for the considered problem is built.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
74K05 Strings
35C05 Solutions to PDEs in closed form